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GCD of 650, 725, 395, 630 Calculator

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


Online GCD Calculator is useful to find the GCD of 650, 725, 395, 630 quickly. Get the easiest ways to solve the greatest common divisor of 650, 725, 395, 630 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 725, 395, 630 with Factoring?

Given Input numbers are 650, 725, 395, 630

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630


GCD of numbers is the greatest common divisor

So, the GCD (650, 725, 395, 630) = 5.

Find GCD of 650, 725, 395, 630 using Prime Factorization

Given numbers are 650, 725, 395, 630

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 725 are 5 x 5 x 29

Prime factors of 395 are 5 x 79

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 51

Therefore, GCD of 650, 725, 395, 630 is 5.

Steps to Calculate GCD of 650, 725, 395, 630 using LCM Formula

Given numbers are 650, 725, 395, 630

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

Apply this formula for all numbers.

Step1:

LCM(650, 725) = 18850

GCD(650, 725) = ( 650 x 725 ) / 18850

= 650 / 725

= 650


Step2:

LCM(25, 395) = 1975

GCD(25, 395) = ( 25 x 395 ) / 1975

= 25 / 395

= 25


Step3:

LCM(5, 630) = 630

GCD(5, 630) = ( 5 x 630 ) / 630

= 5 / 630

= 5


So, Greatest Common Divisor of 650, 725, 395, 630 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 725, 395, 630

Given numbers are 650, 725, 395, 630
The greatest common divisor of numbers 650, 725, 395, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 725, 395, 630 is 5.

FAQs on GCD of 650, 725, 395, 630 Calculator

1. What is the GCD of 650, 725, 395, 630?

GCD of given numbers 650, 725, 395, 630 is 5


2. How to calculate the greatest common divisor of 650, 725, 395, 630?

We can find the highest common divisor of 650, 725, 395, 630 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 650, 725, 395, 630 i.e 5.


3. How can I use the GCD of 650, 725, 395, 630Calculator?

Out the numbers 650, 725, 395, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.