GCD of 975, 312, 921, 980 Calculator

Given Input numbers are 975, 312, 921, 980

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (975, 312, 921, 980) = 1.

Given numbers are 975, 312, 921, 980

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 921 are 3 x 307

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Given numbers are 975, 312, 921, 980

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

Apply this formula for all numbers.

Step1:

LCM(975, 312) = 7800

GCD(975, 312) = ( 975 x 312 ) / 7800

= 975 / 312

= 975

Step2:

LCM(39, 921) = 11973

GCD(39, 921) = ( 39 x 921 ) / 11973

= 39 / 921

= 39

Step3:

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

= 3 / 980

= 3

So, Greatest Common Divisor of 975, 312, 921, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 916, 178, 226
• GCD of 660, 263, 603, 462
• GCD of 999, 728, 801, 467
• GCD of 179, 119, 380, 668
• GCD of 511, 822, 813, 263

Given numbers are 975, 312, 921, 980
The greatest common divisor of numbers 975, 312, 921, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 312, 921, 980 is 1.

1. What is the GCD of 975, 312, 921, 980?

GCD of given numbers 975, 312, 921, 980 is 1

2. How to calculate the greatest common divisor of 975, 312, 921, 980?

We can find the highest common divisor of 975, 312, 921, 980 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 975, 312, 921, 980 i.e 1.

3. How can I use the GCD of 975, 312, 921, 980Calculator?

Out the numbers 975, 312, 921, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.