GCD of 122, 972, 628, 408 Calculator

Given Input numbers are 122, 972, 628, 408

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

Divisors of 122 :

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

1, 2, 61, 122

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (122, 972, 628, 408) = 2.

Given numbers are 122, 972, 628, 408

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 122, 972, 628, 408 is 2.

Given numbers are 122, 972, 628, 408

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

Apply this formula for all numbers.

Step1:

LCM(122, 972) = 59292

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

= 122 / 972

= 122

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 122, 972, 628, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 652, 521, 786
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Given numbers are 122, 972, 628, 408
The greatest common divisor of numbers 122, 972, 628, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 972, 628, 408 is 2.

1. What is the GCD of 122, 972, 628, 408?

GCD of given numbers 122, 972, 628, 408 is 2

2. How to calculate the greatest common divisor of 122, 972, 628, 408?

We can find the highest common divisor of 122, 972, 628, 408 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 122, 972, 628, 408 i.e 2.

3. How can I use the GCD of 122, 972, 628, 408Calculator?

Out the numbers 122, 972, 628, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.