GCD using Factor Tree

Q.

Find the prime factorisation of $980$.

Q.

Find the prime factorisation of $735$.

Q. There are $21$ pencils and $14$ erasers that need to be packed in pencil boxes. Each pencil box must have equal number of pencil and eraser. Find the maximum number of such boxes.

Q.

Find the prime factors of $128$.

Q.

Find the prime factorisation of $32$.

Q.

H.C.F of two consecutive odd numbers is ?

Q. Evaluate the GCD of 144 and 108 using Factor Tree.

Q. Frenklin and Ruth had 56 cents and $\$1$ respectively. They went to market and both of them bought equal number of cupcakes. Cost of Frenklin's cupcakes was same but different from Ruth's cupcakes and vice-versa.
Find the minimum cost of cupcakes bought by Frenkin and Ruth.

1. Cost of Frenklin's cupcakes was $14\text{cents}$
2. Cost of Ruth's cupcakes was $25\text{cents}$
3. Cost of Frenklin's cupcakes was $4\text{cents}$
4. Cost of Frenklin's cupcakes was $10\text{cents}$

Q. Two friends, Jacob and Logan, went into the physical education field in the evening. Jacob decided to complete 8 rounds of a circular track and Logan decided to complete 4 rounds of the same circular track in same time. Find the maximum number of times they will meet each other after starting. Assume that both of them had constant running speed.

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

Q. GCD of two numbers is $5.$ If one number is $125$ and another number is a multiple of $3,$ find the possible number(s) using Factor Tree.

1. $3$
2. $15$
3. $30$
4. $75$