GCD of 564, 921, 731, 961 Calculator

Given Input numbers are 564, 921, 731, 961

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (564, 921, 731, 961) = 1.

Given numbers are 564, 921, 731, 961

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 921 are 3 x 307

Prime factors of 731 are 17 x 43

Prime factors of 961 are 31 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 564, 921, 731, 961

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

Apply this formula for all numbers.

Step1:

LCM(564, 921) = 173148

GCD(564, 921) = ( 564 x 921 ) / 173148

= 564 / 921

= 564

Step2:

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

= 3 / 731

= 3

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 564, 921, 731, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 638, 517, 624
• GCD of 905, 437, 436, 328
• GCD of 861, 670, 607, 215
• GCD of 998, 501, 527, 546
• GCD of 944, 544, 493, 363

Given numbers are 564, 921, 731, 961
The greatest common divisor of numbers 564, 921, 731, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 921, 731, 961 is 1.

1. What is the GCD of 564, 921, 731, 961?

GCD of given numbers 564, 921, 731, 961 is 1

2. How to calculate the greatest common divisor of 564, 921, 731, 961?

We can find the highest common divisor of 564, 921, 731, 961 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 564, 921, 731, 961 i.e 1.

3. How can I use the GCD of 564, 921, 731, 961Calculator?

Out the numbers 564, 921, 731, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.