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GCD of 475, 520, 140, 875 Calculator

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


Online GCD Calculator is useful to find the GCD of 475, 520, 140, 875 quickly. Get the easiest ways to solve the greatest common divisor of 475, 520, 140, 875 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 475, 520, 140, 875 with Factoring?

Given Input numbers are 475, 520, 140, 875

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

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 875 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (475, 520, 140, 875) = 5.

Find GCD of 475, 520, 140, 875 using Prime Factorization

Given numbers are 475, 520, 140, 875

The list of prime factors of all numbers are

Prime factors of 475 are 5 x 5 x 19

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 51

Therefore, GCD of 475, 520, 140, 875 is 5.

Steps to Calculate GCD of 475, 520, 140, 875 using LCM Formula

Given numbers are 475, 520, 140, 875

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

Apply this formula for all numbers.

Step1:

LCM(475, 520) = 49400

GCD(475, 520) = ( 475 x 520 ) / 49400

= 475 / 520

= 475


Step2:

LCM(5, 140) = 140

GCD(5, 140) = ( 5 x 140 ) / 140

= 5 / 140

= 5


Step3:

LCM(5, 875) = 875

GCD(5, 875) = ( 5 x 875 ) / 875

= 5 / 875

= 5


So, Greatest Common Divisor of 475, 520, 140, 875 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 475, 520, 140, 875

Given numbers are 475, 520, 140, 875
The greatest common divisor of numbers 475, 520, 140, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 475, 520, 140, 875 is 5.

FAQs on GCD of 475, 520, 140, 875 Calculator

1. What is the GCD of 475, 520, 140, 875?

GCD of given numbers 475, 520, 140, 875 is 5


2. How to calculate the greatest common divisor of 475, 520, 140, 875?

We can find the highest common divisor of 475, 520, 140, 875 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 475, 520, 140, 875 i.e 5.


3. How can I use the GCD of 475, 520, 140, 875Calculator?

Out the numbers 475, 520, 140, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.