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GCD of 856, 180, 926, 488 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, 180, 926, 488 quickly. Get the easiest ways to solve the greatest common divisor of 856, 180, 926, 488 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 856, 180, 926, 488 with Factoring?

Given Input numbers are 856, 180, 926, 488

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (856, 180, 926, 488) = 2.

Find GCD of 856, 180, 926, 488 using Prime Factorization

Given numbers are 856, 180, 926, 488

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 926 are 2 x 463

Prime factors of 488 are 2 x 2 x 2 x 61

The highest common occurrence is 21

Therefore, GCD of 856, 180, 926, 488 is 2.

Steps to Calculate GCD of 856, 180, 926, 488 using LCM Formula

Given numbers are 856, 180, 926, 488

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

Apply this formula for all numbers.

Step1:

LCM(856, 180) = 38520

GCD(856, 180) = ( 856 x 180 ) / 38520

= 856 / 180

= 856


Step2:

LCM(4, 926) = 1852

GCD(4, 926) = ( 4 x 926 ) / 1852

= 4 / 926

= 4


Step3:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2


So, Greatest Common Divisor of 856, 180, 926, 488 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 180, 926, 488

Given numbers are 856, 180, 926, 488
The greatest common divisor of numbers 856, 180, 926, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 180, 926, 488 is 2.

FAQs on GCD of 856, 180, 926, 488 Calculator

1. What is the GCD of 856, 180, 926, 488?

GCD of given numbers 856, 180, 926, 488 is 2


2. How to calculate the greatest common divisor of 856, 180, 926, 488?

We can find the highest common divisor of 856, 180, 926, 488 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, 180, 926, 488 i.e 2.


3. How can I use the GCD of 856, 180, 926, 488Calculator?

Out the numbers 856, 180, 926, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.