GCD of 122, 748, 422 Calculator

Given Input numbers are 122, 748, 422

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (122, 748, 422) = 2.

Given numbers are 122, 748, 422

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 122, 748, 422 is 2.

Given numbers are 122, 748, 422

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

Apply this formula for all numbers.

Step1:

LCM(122, 748) = 45628

GCD(122, 748) = ( 122 x 748 ) / 45628

= 122 / 748

= 122

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 122, 748, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 978, 500
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Given numbers are 122, 748, 422
The greatest common divisor of numbers 122, 748, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 748, 422 is 2.

1. What is the GCD of 122, 748, 422?

GCD of given numbers 122, 748, 422 is 2

2. How to calculate the greatest common divisor of 122, 748, 422?

We can find the highest common divisor of 122, 748, 422 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, 748, 422 i.e 2.

3. How can I use the GCD of 122, 748, 422Calculator?

Out the numbers 122, 748, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.