GCD of 126, 311, 840, 972 Calculator

Given Input numbers are 126, 311, 840, 972

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

GCD of numbers is the greatest common divisor

So, the GCD (126, 311, 840, 972) = 1.

Given numbers are 126, 311, 840, 972

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 311 are 311

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

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

Given numbers are 126, 311, 840, 972

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

Apply this formula for all numbers.

Step1:

LCM(126, 311) = 39186

GCD(126, 311) = ( 126 x 311 ) / 39186

= 126 / 311

= 126

Step2:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 126, 311, 840, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 294, 455, 568
• GCD of 768, 418, 352, 837
• GCD of 782, 345, 194, 373
• GCD of 544, 699, 395, 481
• GCD of 988, 340, 422, 759

Given numbers are 126, 311, 840, 972
The greatest common divisor of numbers 126, 311, 840, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 311, 840, 972 is 1.

1. What is the GCD of 126, 311, 840, 972?

GCD of given numbers 126, 311, 840, 972 is 1

2. How to calculate the greatest common divisor of 126, 311, 840, 972?

We can find the highest common divisor of 126, 311, 840, 972 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 126, 311, 840, 972 i.e 1.

3. How can I use the GCD of 126, 311, 840, 972Calculator?

Out the numbers 126, 311, 840, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.