Question

Largest no that divides 15and 27 without leaving remainder

Answer 1

Given : Dividends are 15 and 27

To find : The largest number that divides 15and 27 without leaving remainder.

Solution :

The largest number that divides 15 and 27 without leaving remainder is 3

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required largest number)

Here, we have to find the HCF (Highest Common Factor) of the given dividends, in order to get the required highest number.

So,

15 = 3 × 5

27 = 3 × 3 × 3

Common factor = 3

HCF = 3

So, the required number = 3

(This will be considered as the final result.)

Verification :

• 15 ÷ 3 = 5 (no remainder)
• 27 ÷ 3 = 9 (no remainder)

Hence, the largest number that divides 15 and 27 without leaving remainder is 3

Answer 2

Largest no that divides 15 and 27 without leaving remainder is 3

Given :

The numbers 15 and 27

To find :

Largest no that divides 15 and 27 without leaving remainder

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

Solution :

Step 1 of 3 :

Write down the given numbers

Here the given numbers are 15 and 27

Step 2 of 3 :

Prime factorise the given numbers

15 = 3 × 5

27 = 3 × 3 × 3

Step 3 of 3 :

Find the number

The Largest no that divides 15and 27 without leaving remainder

= HCF of 15 and 27

= 3

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