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GCD of 872, 775, 112, 629 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 775, 112, 629 quickly. Get the easiest ways to solve the greatest common divisor of 872, 775, 112, 629 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 775, 112, 629 with Factoring?

Given Input numbers are 872, 775, 112, 629

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

Divisors of 872 :

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

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

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629


GCD of numbers is the greatest common divisor

So, the GCD (872, 775, 112, 629) = 1.

Find GCD of 872, 775, 112, 629 using Prime Factorization

Given numbers are 872, 775, 112, 629

The list of prime factors of all numbers are

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

Prime factors of 775 are 5 x 5 x 31

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 629 are 17 x 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 872, 775, 112, 629 using LCM Formula

Given numbers are 872, 775, 112, 629

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

Apply this formula for all numbers.

Step1:

LCM(872, 775) = 675800

GCD(872, 775) = ( 872 x 775 ) / 675800

= 872 / 775

= 872


Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1


Step3:

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

= 1 / 629

= 1


So, Greatest Common Divisor of 872, 775, 112, 629 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 775, 112, 629

Given numbers are 872, 775, 112, 629
The greatest common divisor of numbers 872, 775, 112, 629 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 775, 112, 629 is 1.

FAQs on GCD of 872, 775, 112, 629 Calculator

1. What is the GCD of 872, 775, 112, 629?

GCD of given numbers 872, 775, 112, 629 is 1


2. How to calculate the greatest common divisor of 872, 775, 112, 629?

We can find the highest common divisor of 872, 775, 112, 629 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 872, 775, 112, 629 i.e 1.


3. How can I use the GCD of 872, 775, 112, 629Calculator?

Out the numbers 872, 775, 112, 629 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.