GCD of 972, 942, 745, 291 Calculator

Given Input numbers are 972, 942, 745, 291

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (972, 942, 745, 291) = 1.

Given numbers are 972, 942, 745, 291

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 942 are 2 x 3 x 157

Prime factors of 745 are 5 x 149

Prime factors of 291 are 3 x 97

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

Given numbers are 972, 942, 745, 291

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

Apply this formula for all numbers.

Step1:

LCM(972, 942) = 152604

GCD(972, 942) = ( 972 x 942 ) / 152604

= 972 / 942

= 972

Step2:

LCM(6, 745) = 4470

GCD(6, 745) = ( 6 x 745 ) / 4470

= 6 / 745

= 6

Step3:

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

= 1 / 291

= 1

So, Greatest Common Divisor of 972, 942, 745, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 204, 688, 899
• GCD of 878, 580, 707, 893
• GCD of 561, 216, 383, 738
• GCD of 976, 119, 833, 610
• GCD of 298, 800, 393, 966

Given numbers are 972, 942, 745, 291
The greatest common divisor of numbers 972, 942, 745, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 942, 745, 291 is 1.

1. What is the GCD of 972, 942, 745, 291?

GCD of given numbers 972, 942, 745, 291 is 1

2. How to calculate the greatest common divisor of 972, 942, 745, 291?

We can find the highest common divisor of 972, 942, 745, 291 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, 942, 745, 291 i.e 1.

3. How can I use the GCD of 972, 942, 745, 291Calculator?

Out the numbers 972, 942, 745, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.