GCD of 975, 312, 971, 700 Calculator

Given Input numbers are 975, 312, 971, 700

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (975, 312, 971, 700) = 1.

Given numbers are 975, 312, 971, 700

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 971 are 971

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 975, 312, 971, 700

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, 971) = 37869

GCD(39, 971) = ( 39 x 971 ) / 37869

= 39 / 971

= 39

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 975, 312, 971, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 982, 328, 789
• GCD of 852, 282, 148, 683
• GCD of 451, 729, 653, 994
• GCD of 268, 462, 849, 203
• GCD of 577, 374, 988, 496

Given numbers are 975, 312, 971, 700
The greatest common divisor of numbers 975, 312, 971, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 312, 971, 700 is 1.

1. What is the GCD of 975, 312, 971, 700?

GCD of given numbers 975, 312, 971, 700 is 1

2. How to calculate the greatest common divisor of 975, 312, 971, 700?

We can find the highest common divisor of 975, 312, 971, 700 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, 971, 700 i.e 1.

3. How can I use the GCD of 975, 312, 971, 700Calculator?

Out the numbers 975, 312, 971, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.