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GCD of 990, 420, 136, 124 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 990, 420, 136, 124 quickly. Get the easiest ways to solve the greatest common divisor of 990, 420, 136, 124 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 420, 136, 124 with Factoring?

Given Input numbers are 990, 420, 136, 124

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124


GCD of numbers is the greatest common divisor

So, the GCD (990, 420, 136, 124) = 2.

Find GCD of 990, 420, 136, 124 using Prime Factorization

Given numbers are 990, 420, 136, 124

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 21

Therefore, GCD of 990, 420, 136, 124 is 2.

Steps to Calculate GCD of 990, 420, 136, 124 using LCM Formula

Given numbers are 990, 420, 136, 124

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

Apply this formula for all numbers.

Step1:

LCM(990, 420) = 13860

GCD(990, 420) = ( 990 x 420 ) / 13860

= 990 / 420

= 990


Step2:

LCM(30, 136) = 2040

GCD(30, 136) = ( 30 x 136 ) / 2040

= 30 / 136

= 30


Step3:

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

= 2 / 124

= 2


So, Greatest Common Divisor of 990, 420, 136, 124 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 420, 136, 124

Given numbers are 990, 420, 136, 124
The greatest common divisor of numbers 990, 420, 136, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 420, 136, 124 is 2.

FAQs on GCD of 990, 420, 136, 124 Calculator

1. What is the GCD of 990, 420, 136, 124?

GCD of given numbers 990, 420, 136, 124 is 2


2. How to calculate the greatest common divisor of 990, 420, 136, 124?

We can find the highest common divisor of 990, 420, 136, 124 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 990, 420, 136, 124 i.e 2.


3. How can I use the GCD of 990, 420, 136, 124Calculator?

Out the numbers 990, 420, 136, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.