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GCD of 875, 735, 195, 730 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, 735, 195, 730 quickly. Get the easiest ways to solve the greatest common divisor of 875, 735, 195, 730 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 875, 735, 195, 730 with Factoring?

Given Input numbers are 875, 735, 195, 730

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730


GCD of numbers is the greatest common divisor

So, the GCD (875, 735, 195, 730) = 5.

Find GCD of 875, 735, 195, 730 using Prime Factorization

Given numbers are 875, 735, 195, 730

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 195 are 3 x 5 x 13

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 51

Therefore, GCD of 875, 735, 195, 730 is 5.

Steps to Calculate GCD of 875, 735, 195, 730 using LCM Formula

Given numbers are 875, 735, 195, 730

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

Apply this formula for all numbers.

Step1:

LCM(875, 735) = 18375

GCD(875, 735) = ( 875 x 735 ) / 18375

= 875 / 735

= 875


Step2:

LCM(35, 195) = 1365

GCD(35, 195) = ( 35 x 195 ) / 1365

= 35 / 195

= 35


Step3:

LCM(5, 730) = 730

GCD(5, 730) = ( 5 x 730 ) / 730

= 5 / 730

= 5


So, Greatest Common Divisor of 875, 735, 195, 730 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 875, 735, 195, 730

Given numbers are 875, 735, 195, 730
The greatest common divisor of numbers 875, 735, 195, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 735, 195, 730 is 5.

FAQs on GCD of 875, 735, 195, 730 Calculator

1. What is the GCD of 875, 735, 195, 730?

GCD of given numbers 875, 735, 195, 730 is 5


2. How to calculate the greatest common divisor of 875, 735, 195, 730?

We can find the highest common divisor of 875, 735, 195, 730 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, 735, 195, 730 i.e 5.


3. How can I use the GCD of 875, 735, 195, 730Calculator?

Out the numbers 875, 735, 195, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.