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GCD of 560, 872, 76, 136 Calculator

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


Online GCD Calculator is useful to find the GCD of 560, 872, 76, 136 quickly. Get the easiest ways to solve the greatest common divisor of 560, 872, 76, 136 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 560, 872, 76, 136 with Factoring?

Given Input numbers are 560, 872, 76, 136

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 136 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (560, 872, 76, 136) = 4.

Find GCD of 560, 872, 76, 136 using Prime Factorization

Given numbers are 560, 872, 76, 136

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 76 are 2 x 2 x 19

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

The highest common occurrence is 22

Therefore, GCD of 560, 872, 76, 136 is 4.

Steps to Calculate GCD of 560, 872, 76, 136 using LCM Formula

Given numbers are 560, 872, 76, 136

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

Apply this formula for all numbers.

Step1:

LCM(560, 872) = 61040

GCD(560, 872) = ( 560 x 872 ) / 61040

= 560 / 872

= 560


Step2:

LCM(8, 76) = 152

GCD(8, 76) = ( 8 x 76 ) / 152

= 8 / 76

= 8


Step3:

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

= 4 / 136

= 4


So, Greatest Common Divisor of 560, 872, 76, 136 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 560, 872, 76, 136

Given numbers are 560, 872, 76, 136
The greatest common divisor of numbers 560, 872, 76, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 872, 76, 136 is 4.

FAQs on GCD of 560, 872, 76, 136 Calculator

1. What is the GCD of 560, 872, 76, 136?

GCD of given numbers 560, 872, 76, 136 is 4


2. How to calculate the greatest common divisor of 560, 872, 76, 136?

We can find the highest common divisor of 560, 872, 76, 136 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 560, 872, 76, 136 i.e 4.


3. How can I use the GCD of 560, 872, 76, 136Calculator?

Out the numbers 560, 872, 76, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.