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GCD of 875, 785, 370, 125 Calculator

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


Online GCD Calculator is useful to find the GCD of 875, 785, 370, 125 quickly. Get the easiest ways to solve the greatest common divisor of 875, 785, 370, 125 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 875, 785, 370, 125 with Factoring?

Given Input numbers are 875, 785, 370, 125

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

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125


GCD of numbers is the greatest common divisor

So, the GCD (875, 785, 370, 125) = 5.

Find GCD of 875, 785, 370, 125 using Prime Factorization

Given numbers are 875, 785, 370, 125

The list of prime factors of all numbers are

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 785 are 5 x 157

Prime factors of 370 are 2 x 5 x 37

Prime factors of 125 are 5 x 5 x 5

The highest common occurrence is 51

Therefore, GCD of 875, 785, 370, 125 is 5.

Steps to Calculate GCD of 875, 785, 370, 125 using LCM Formula

Given numbers are 875, 785, 370, 125

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

Apply this formula for all numbers.

Step1:

LCM(875, 785) = 137375

GCD(875, 785) = ( 875 x 785 ) / 137375

= 875 / 785

= 875


Step2:

LCM(5, 370) = 370

GCD(5, 370) = ( 5 x 370 ) / 370

= 5 / 370

= 5


Step3:

LCM(5, 125) = 125

GCD(5, 125) = ( 5 x 125 ) / 125

= 5 / 125

= 5


So, Greatest Common Divisor of 875, 785, 370, 125 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 875, 785, 370, 125

Given numbers are 875, 785, 370, 125
The greatest common divisor of numbers 875, 785, 370, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 785, 370, 125 is 5.

FAQs on GCD of 875, 785, 370, 125 Calculator

1. What is the GCD of 875, 785, 370, 125?

GCD of given numbers 875, 785, 370, 125 is 5


2. How to calculate the greatest common divisor of 875, 785, 370, 125?

We can find the highest common divisor of 875, 785, 370, 125 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 875, 785, 370, 125 i.e 5.


3. How can I use the GCD of 875, 785, 370, 125Calculator?

Out the numbers 875, 785, 370, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.