GCD of 972, 649, 843, 756 Calculator

Given Input numbers are 972, 649, 843, 756

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (972, 649, 843, 756) = 1.

Given numbers are 972, 649, 843, 756

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 649 are 11 x 59

Prime factors of 843 are 3 x 281

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Given numbers are 972, 649, 843, 756

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

Apply this formula for all numbers.

Step1:

LCM(972, 649) = 630828

GCD(972, 649) = ( 972 x 649 ) / 630828

= 972 / 649

= 972

Step2:

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

= 1 / 843

= 1

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 972, 649, 843, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 126, 171, 838
• GCD of 183, 659, 619, 980
• GCD of 565, 766, 594, 212
• GCD of 378, 538, 660, 327
• GCD of 878, 584, 355, 358

Given numbers are 972, 649, 843, 756
The greatest common divisor of numbers 972, 649, 843, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 649, 843, 756 is 1.

1. What is the GCD of 972, 649, 843, 756?

GCD of given numbers 972, 649, 843, 756 is 1

2. How to calculate the greatest common divisor of 972, 649, 843, 756?

We can find the highest common divisor of 972, 649, 843, 756 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 972, 649, 843, 756 i.e 1.

3. How can I use the GCD of 972, 649, 843, 756Calculator?

Out the numbers 972, 649, 843, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.