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GCD of 420, 771, 387, 956 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, 771, 387, 956 quickly. Get the easiest ways to solve the greatest common divisor of 420, 771, 387, 956 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 771, 387, 956 with Factoring?

Given Input numbers are 420, 771, 387, 956

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 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956


GCD of numbers is the greatest common divisor

So, the GCD (420, 771, 387, 956) = 1.

Find GCD of 420, 771, 387, 956 using Prime Factorization

Given numbers are 420, 771, 387, 956

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 771 are 3 x 257

Prime factors of 387 are 3 x 3 x 43

Prime factors of 956 are 2 x 2 x 239

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

Steps to Calculate GCD of 420, 771, 387, 956 using LCM Formula

Given numbers are 420, 771, 387, 956

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

Apply this formula for all numbers.

Step1:

LCM(420, 771) = 107940

GCD(420, 771) = ( 420 x 771 ) / 107940

= 420 / 771

= 420


Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3


Step3:

LCM(3, 956) = 2868

GCD(3, 956) = ( 3 x 956 ) / 2868

= 3 / 956

= 3


So, Greatest Common Divisor of 420, 771, 387, 956 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 771, 387, 956

Given numbers are 420, 771, 387, 956
The greatest common divisor of numbers 420, 771, 387, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 771, 387, 956 is 1.

FAQs on GCD of 420, 771, 387, 956 Calculator

1. What is the GCD of 420, 771, 387, 956?

GCD of given numbers 420, 771, 387, 956 is 1


2. How to calculate the greatest common divisor of 420, 771, 387, 956?

We can find the highest common divisor of 420, 771, 387, 956 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, 771, 387, 956 i.e 1.


3. How can I use the GCD of 420, 771, 387, 956Calculator?

Out the numbers 420, 771, 387, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.