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GCD of 420, 785, 252, 555 Calculator

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


Online GCD Calculator is useful to find the GCD of 420, 785, 252, 555 quickly. Get the easiest ways to solve the greatest common divisor of 420, 785, 252, 555 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 785, 252, 555 with Factoring?

Given Input numbers are 420, 785, 252, 555

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 785 :

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

1, 5, 157, 785

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 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555


GCD of numbers is the greatest common divisor

So, the GCD (420, 785, 252, 555) = 1.

Find GCD of 420, 785, 252, 555 using Prime Factorization

Given numbers are 420, 785, 252, 555

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 785 are 5 x 157

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

Prime factors of 555 are 3 x 5 x 37

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

Steps to Calculate GCD of 420, 785, 252, 555 using LCM Formula

Given numbers are 420, 785, 252, 555

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

Apply this formula for all numbers.

Step1:

LCM(420, 785) = 65940

GCD(420, 785) = ( 420 x 785 ) / 65940

= 420 / 785

= 420


Step2:

LCM(5, 252) = 1260

GCD(5, 252) = ( 5 x 252 ) / 1260

= 5 / 252

= 5


Step3:

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

= 1 / 555

= 1


So, Greatest Common Divisor of 420, 785, 252, 555 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 785, 252, 555

Given numbers are 420, 785, 252, 555
The greatest common divisor of numbers 420, 785, 252, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 785, 252, 555 is 1.

FAQs on GCD of 420, 785, 252, 555 Calculator

1. What is the GCD of 420, 785, 252, 555?

GCD of given numbers 420, 785, 252, 555 is 1


2. How to calculate the greatest common divisor of 420, 785, 252, 555?

We can find the highest common divisor of 420, 785, 252, 555 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 420, 785, 252, 555 i.e 1.


3. How can I use the GCD of 420, 785, 252, 555Calculator?

Out the numbers 420, 785, 252, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.