GCD of 431, 975, 972, 940 Calculator

Given Input numbers are 431, 975, 972, 940

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

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 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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (431, 975, 972, 940) = 1.

Given numbers are 431, 975, 972, 940

The list of prime factors of all numbers are

Prime factors of 431 are 431

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

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

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 431, 975, 972, 940

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

Apply this formula for all numbers.

Step1:

LCM(431, 975) = 420225

GCD(431, 975) = ( 431 x 975 ) / 420225

= 431 / 975

= 431

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 431, 975, 972, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 586, 326, 466
• GCD of 848, 248, 473, 772
• GCD of 913, 894, 710, 206
• GCD of 426, 394, 471, 267
• GCD of 939, 129, 887, 944

Given numbers are 431, 975, 972, 940
The greatest common divisor of numbers 431, 975, 972, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 975, 972, 940 is 1.

1. What is the GCD of 431, 975, 972, 940?

GCD of given numbers 431, 975, 972, 940 is 1

2. How to calculate the greatest common divisor of 431, 975, 972, 940?

We can find the highest common divisor of 431, 975, 972, 940 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 431, 975, 972, 940 i.e 1.

3. How can I use the GCD of 431, 975, 972, 940Calculator?

Out the numbers 431, 975, 972, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.