Question

what is the highest number that divides 12,14,16 without leaving the remainder.​

Answer 1

Answer:

HCF of 12,14,16

12=2×2×3

14=2×7

16=2×2×2×2

HCF=2

Therefore, 2 is the highest number which divides 12,14,16 without leaving the remainder.

Answer 2

SOLUTION

TO DETERMINE

The highest number that divides 12 , 14 , 16 without leaving the remainder.

CONCEPT TO BE IMPLEMENTED

HCF :

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

EVALUATION

We have to find the highest number that divides 12 , 14 , 16 without leaving the remainder.

We know that the highest number that divides 12 , 14 , 16 without leaving the remainder is the HCF of the numbers

Here the given numbers are 12 , 14 , 16

We prime factorise the given numbers

$\sf 12 = 2 \times 2 \times 3$

$\sf 14 = 2 \times 7$

$\sf 16 = 2 \times 2 \times 2 \times 2$

The required HCF = 2

FINAL ANSWER

The highest number that divides 12 , 14 , 16 without leaving the remainder is 2

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