Question

Find the greatest number that divides 275,525 and 830 without leaving any remainder

Answer 1

Given that:

• Numbers are 275, 525 and 830.

To Find:

• The greatest number that divides all the numbers without leaving any remainder.

Finding the greatest number:

Using prime factorisation method.

• Factors of 275 = 5 × 5 × 11
• Factors of 525 = 3 × 5 × 5 × 7
• Factors of 830 = 2 × 5 × 83
• HCF (275, 525, 830) = 5

Hence,

• The greatest number that divides 275, 525 and 830 without leaving any remainder is 5.

Answer 2

Question:-

• Find the greatest number that divides 275,525 and 830 without leaving any remainder.

To Find:-

• Find the greatest number.

Solution:-

We have to find the greatest number by using prime factorisation:-

$\dashrightarrow\sf \: 275 = 5 \times 5 \times 11$

$\dashrightarrow\sf \: 525 = 5 \times 5 \times 5 \times 3 \times 11$

$\dashrightarrow\sf \: 830 = 5 \times \times 2 \times 83$

Hence ,

• The greatest number divides without leaving remainder is 5.