GCD of 122, 664, 420, 274 Calculator

Given Input numbers are 122, 664, 420, 274

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (122, 664, 420, 274) = 2.

Given numbers are 122, 664, 420, 274

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 122, 664, 420, 274 is 2.

Given numbers are 122, 664, 420, 274

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

Apply this formula for all numbers.

Step1:

LCM(122, 664) = 40504

GCD(122, 664) = ( 122 x 664 ) / 40504

= 122 / 664

= 122

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 122, 664, 420, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 689, 783, 837
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Given numbers are 122, 664, 420, 274
The greatest common divisor of numbers 122, 664, 420, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 664, 420, 274 is 2.

1. What is the GCD of 122, 664, 420, 274?

GCD of given numbers 122, 664, 420, 274 is 2

2. How to calculate the greatest common divisor of 122, 664, 420, 274?

We can find the highest common divisor of 122, 664, 420, 274 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, 664, 420, 274 i.e 2.

3. How can I use the GCD of 122, 664, 420, 274Calculator?

Out the numbers 122, 664, 420, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.