Question

find the hcf of 546,728​

Answer 1

Answer:

GCF = 182

for the values 546, 728

Solution by Factorization:

The factors of 546 are: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

The factors of 728 are: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Then the greatest common factor is 182.

Answer 2

Answer:

The HCF of 546 and 728​ is 182.

Step-by-step explanation:

Given: The numbers are 546 and 728​.

We have to find the HCF of the above numbers.

• As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are  546 and 728​.

First, we will find the factors of the above numbers.

The factors of 546 are: $1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546$

The factors of 728 are: $1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728$

From the above, we can see that 182 is the largest positive integer that divides each of the given integers.

Then the greatest common factor(HCF) is 182.