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GCD of 958, 138, 596, 126 Calculator

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


Online GCD Calculator is useful to find the GCD of 958, 138, 596, 126 quickly. Get the easiest ways to solve the greatest common divisor of 958, 138, 596, 126 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 138, 596, 126 with Factoring?

Given Input numbers are 958, 138, 596, 126

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126


GCD of numbers is the greatest common divisor

So, the GCD (958, 138, 596, 126) = 2.

Find GCD of 958, 138, 596, 126 using Prime Factorization

Given numbers are 958, 138, 596, 126

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 138 are 2 x 3 x 23

Prime factors of 596 are 2 x 2 x 149

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 958, 138, 596, 126 is 2.

Steps to Calculate GCD of 958, 138, 596, 126 using LCM Formula

Given numbers are 958, 138, 596, 126

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

Apply this formula for all numbers.

Step1:

LCM(958, 138) = 66102

GCD(958, 138) = ( 958 x 138 ) / 66102

= 958 / 138

= 958


Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2


Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2


So, Greatest Common Divisor of 958, 138, 596, 126 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 138, 596, 126

Given numbers are 958, 138, 596, 126
The greatest common divisor of numbers 958, 138, 596, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 138, 596, 126 is 2.

FAQs on GCD of 958, 138, 596, 126 Calculator

1. What is the GCD of 958, 138, 596, 126?

GCD of given numbers 958, 138, 596, 126 is 2


2. How to calculate the greatest common divisor of 958, 138, 596, 126?

We can find the highest common divisor of 958, 138, 596, 126 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 958, 138, 596, 126 i.e 2.


3. How can I use the GCD of 958, 138, 596, 126Calculator?

Out the numbers 958, 138, 596, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.