Method of Finding HCF

Q.

Find the HCF of 360 and 18144 by prime factorization.

1. $2\times 3\times 5\times 7$

2. $2^3\times 3^4$

3. $2^5\times 3^2$

4. $2^3\times 3^2$

Q.

Find the LCM and HCF of the integers $17,23$, and $29$ by applying the prime factorization method.

Q.

Find HCF of $867$ and $225$ by Euclids division algorithm.

Q.

If the HCF of $657$ and $963$ is expressible in the form $657x+963x-15$find $x$.

Q.

Find the $LCM$ and $HCF$of the following integers by applying the prime factorization method.

$12,15$and $21$

Q. Q.Express the HCF of 468 and 222 as 486x + 222y in two different ways where x, y are integers.

Q.

Find the HCF of $81$ and $237$ and express it as a linear combination of $81$ and $237$.

Q.

The least number which leaves a remainder of 3 when divided by 2, 5, 7, 10 and 15 is

1. 210

2. 205

3. 213

4. 207

Q.

The HCF of two consecutive odd numbers is 2

1. True
2. False

Q. How the HCF of two numbers is expressed in the form xa+xy?

Q. 40 and 248

Q. Find the least number which when divided by 18, 24, 30 and 42 leaves the remainder1

Q.

If the length and breadth of a room are $18m$ and $12m$ respectively, then

Perimeter : breadth $=$ _______

Q. how to solve euclid division lemma

Q. Two numbers are in the ratio of 15:11. If their H.C.F is 13, the numbers will be:

1. 190 and 140
2. 185 and 143
3. 195 and 143
4. 185 and 163