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GCD of 600, 252, 760, 643 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 252, 760, 643 quickly. Get the easiest ways to solve the greatest common divisor of 600, 252, 760, 643 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 252, 760, 643 with Factoring?

Given Input numbers are 600, 252, 760, 643

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643


GCD of numbers is the greatest common divisor

So, the GCD (600, 252, 760, 643) = 1.

Find GCD of 600, 252, 760, 643 using Prime Factorization

Given numbers are 600, 252, 760, 643

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 643 are 643

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

Steps to Calculate GCD of 600, 252, 760, 643 using LCM Formula

Given numbers are 600, 252, 760, 643

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

Apply this formula for all numbers.

Step1:

LCM(600, 252) = 12600

GCD(600, 252) = ( 600 x 252 ) / 12600

= 600 / 252

= 600


Step2:

LCM(12, 760) = 2280

GCD(12, 760) = ( 12 x 760 ) / 2280

= 12 / 760

= 12


Step3:

LCM(4, 643) = 2572

GCD(4, 643) = ( 4 x 643 ) / 2572

= 4 / 643

= 4


So, Greatest Common Divisor of 600, 252, 760, 643 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 252, 760, 643

Given numbers are 600, 252, 760, 643
The greatest common divisor of numbers 600, 252, 760, 643 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 252, 760, 643 is 1.

FAQs on GCD of 600, 252, 760, 643 Calculator

1. What is the GCD of 600, 252, 760, 643?

GCD of given numbers 600, 252, 760, 643 is 1


2. How to calculate the greatest common divisor of 600, 252, 760, 643?

We can find the highest common divisor of 600, 252, 760, 643 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 600, 252, 760, 643 i.e 1.


3. How can I use the GCD of 600, 252, 760, 643Calculator?

Out the numbers 600, 252, 760, 643 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.