GCD of 976, 256, 724 Calculator

Given Input numbers are 976, 256, 724

In the factoring method, we have to find the divisors of all numbers

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (976, 256, 724) = 4.

Given numbers are 976, 256, 724

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2²

Therefore, GCD of 976, 256, 724 is 4.

Given numbers are 976, 256, 724

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(976, 256) = 15616

GCD(976, 256) = ( 976 x 256 ) / 15616

= 976 / 256

= 976

Step2:

LCM(16, 724) = 2896

GCD(16, 724) = ( 16 x 724 ) / 2896

= 16 / 724

= 16

So, Greatest Common Divisor of 976, 256, 724 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 381, 388
• GCD of 912, 921, 507
• GCD of 191, 896, 177
• GCD of 492, 307, 750
• GCD of 755, 381, 523

Given numbers are 976, 256, 724
The greatest common divisor of numbers 976, 256, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 256, 724 is 4.

1. What is the GCD of 976, 256, 724?

GCD of given numbers 976, 256, 724 is 4

2. How to calculate the greatest common divisor of 976, 256, 724?

We can find the highest common divisor of 976, 256, 724 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 976, 256, 724 i.e 4.

3. How can I use the GCD of 976, 256, 724Calculator?

Out the numbers 976, 256, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.