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GCD of 856, 142, 118, 436 Calculator

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


Online GCD Calculator is useful to find the GCD of 856, 142, 118, 436 quickly. Get the easiest ways to solve the greatest common divisor of 856, 142, 118, 436 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 856, 142, 118, 436 with Factoring?

Given Input numbers are 856, 142, 118, 436

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436


GCD of numbers is the greatest common divisor

So, the GCD (856, 142, 118, 436) = 2.

Find GCD of 856, 142, 118, 436 using Prime Factorization

Given numbers are 856, 142, 118, 436

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 142 are 2 x 71

Prime factors of 118 are 2 x 59

Prime factors of 436 are 2 x 2 x 109

The highest common occurrence is 21

Therefore, GCD of 856, 142, 118, 436 is 2.

Steps to Calculate GCD of 856, 142, 118, 436 using LCM Formula

Given numbers are 856, 142, 118, 436

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

Apply this formula for all numbers.

Step1:

LCM(856, 142) = 60776

GCD(856, 142) = ( 856 x 142 ) / 60776

= 856 / 142

= 856


Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2


Step3:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2


So, Greatest Common Divisor of 856, 142, 118, 436 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 142, 118, 436

Given numbers are 856, 142, 118, 436
The greatest common divisor of numbers 856, 142, 118, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 142, 118, 436 is 2.

FAQs on GCD of 856, 142, 118, 436 Calculator

1. What is the GCD of 856, 142, 118, 436?

GCD of given numbers 856, 142, 118, 436 is 2


2. How to calculate the greatest common divisor of 856, 142, 118, 436?

We can find the highest common divisor of 856, 142, 118, 436 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 856, 142, 118, 436 i.e 2.


3. How can I use the GCD of 856, 142, 118, 436Calculator?

Out the numbers 856, 142, 118, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.