GCD of 972, 122, 426, 301 Calculator

Given Input numbers are 972, 122, 426, 301

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (972, 122, 426, 301) = 1.

Given numbers are 972, 122, 426, 301

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 122 are 2 x 61

Prime factors of 426 are 2 x 3 x 71

Prime factors of 301 are 7 x 43

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

Given numbers are 972, 122, 426, 301

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

Apply this formula for all numbers.

Step1:

LCM(972, 122) = 59292

GCD(972, 122) = ( 972 x 122 ) / 59292

= 972 / 122

= 972

Step2:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2

Step3:

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

= 2 / 301

= 2

So, Greatest Common Divisor of 972, 122, 426, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 307, 393, 412
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Given numbers are 972, 122, 426, 301
The greatest common divisor of numbers 972, 122, 426, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 122, 426, 301 is 1.

1. What is the GCD of 972, 122, 426, 301?

GCD of given numbers 972, 122, 426, 301 is 1

2. How to calculate the greatest common divisor of 972, 122, 426, 301?

We can find the highest common divisor of 972, 122, 426, 301 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, 122, 426, 301 i.e 1.

3. How can I use the GCD of 972, 122, 426, 301Calculator?

Out the numbers 972, 122, 426, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.