Prime Factor Method for H.C.F

Q.

Given that $(p+3)$ is the H.C.F of 81 and 108. Find the value of $p$.

1. 6

2. 12

3. 9

4. 24

Q. Two water tanks contain 250 and 400 litres of water respectively. What will be the maximum capacity of a bucket that can exactly measure the water in the two tanks?

1. 80 litres
2. 40 litres
3. 20 litres
4. 50 litres

Q.

Manu goes to dance class once in every 6 days, to karate class once in every 12 days and to art classes once in every 18 days. He attends all the three classes on 1st of April. On which day, will he attend all the 3 classes again?

1. 8th May
2. 7th May
3. 1st May
4. 21st April

Q.

Find H.C.F of 25, 75 and 100.

1. 56

2. 25

3. 100

4. 95

Q. Two water tanks contain 250 and 400 litres of water respectively. What will be the maximum capacity of a bucket that can exactly measure the water in the two tanks?

1. 80 litres
2. 40 litres
3. 20 litres
4. 50 litres

Q.

The H.C.F of 13 & 7 is

1. 7
2. 1
3. 26
4. 13

Q.

The HCF of any two consecutive numbers is 1.

1. True

2. False

Q.

H.C.F of 45, 30 & 100 is

1. 15

2. 1

3. 45

4. 30

Q.

Three athletes A, B, C are participating in a racing event. They start running together. A takes 30 seconds to complete one round on the track, B takes 40 seconds and C takes 45 seconds. What is the minimum number of seconds after which will they all be at the same place again?

1. 360 seconds

2. 180 seconds

3. 240 seconds

4. 720 seconds

Q.

Three measuring tapes are $40$cm, $50$cm, $75$cm long. Find the least length (in meters) of cloth that can be measured by the full length of each of these tapes.

Q. The smallest 3-digit number which is completely divisible by 18, 24 and 32 is

1. $576$
2. $13824$
3. $288$
4. $432$

Q.

Find the largest number which divides $509$ and $985$leaving remainder $5$ in each case.

Q.

Each of the quantities multiplied together to form a product is called a constant of the product.

1. True
2. False

Q. Choose the option that lists all the factors of 24.

1. 1, 2, 3, 6, 8, 12, 24
2. 1, 2, 4, 6, 8, 12, 24
3. 1, 2, 3, 4, 6, 8, 24
4. 1, 2, 3, 4, 6, 8, 12, 24

Q.

Find the common factors of $12$, $18$ and $15$.

Q. Find the H.C.F of 24, 16, 36 and 48.

1. 5
2. 1
3. 9
4. 4

Q.

H.C.F of 45, 30 & 15 is:

1. 45

2. 30

3. 15

4. 1

Q.

The H.C.F of 6 & 4 is

1. 1
2. 4
3. 6
4. 2

Q. Three mugs contains 1401 mL, 1434 mL and 1464 mL of water respectively. Find the maximum capacity of the mug that can exactly measure the water of the three mugs?

1. 5 mL
2. 1 mL
   
3. 7 mL
   
4. 3 mL
   

Q.

2. Write down all the factors of :

(ii) $56$

Q. What is the least number that is exactly divisible by 15, 10 and 16?

1. 160
2. 60
3. 16
4. 240

Q.

The factors of 72 are __________________.

1. 5, 7, 10, 11, 13, 17, 21 and 23

2. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

3. 5, 7, 13, 14, 15, 16, 17 and 19

4. 5, 7, 11, 13, 15, 16, 17, 20, and 25

Q.

The factors of 72 are __________________.

1. 5, 7, 11, 13, 15, 16, 17, 20, and 25

2. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

3. 5, 7, 13, 14, 15, 16, 17 and 19

4. 5, 7, 10, 11, 13, 17, 21 and 23

Q. Find the HCF of 70, 105 & 175.

1. 45
2. 15
3. 75
4. 35

Q. If two numbers are coprime, then they have _______ common factors.

1. 0
2. 1
3. 2
4. 3

Q.

The factors of 72 are

1. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 72

2. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

3. 2, 3, 4 , 6, 8 , 9, 12, 18, 24, 36, 72

4. 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

Q. The smallest 3-digit number which is completely divisible by 18, 24 and 32 is

1. $432$
2. $288$
3. $576$
4. $13824$

Q.

The factors of 72 are __________________.

1. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

2. 5, 7, 13, 14, 15, 16, 17 and 19

3. 5, 7, 10, 11, 13, 17, 21 and 23

4. 5, 7, 11, 13, 15, 16, 17, 20, and 25

Q.

H.C.F of 45, 30 and 15 is

1. 30

2. 15

3. 1

4. 45

Q. Using the common multiple method, find the $L.C.M.$ of the following:
$8,12$ and $24$