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GCD of 420, 531, 951, 814 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, 531, 951, 814 quickly. Get the easiest ways to solve the greatest common divisor of 420, 531, 951, 814 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 531, 951, 814 with Factoring?

Given Input numbers are 420, 531, 951, 814

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 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814


GCD of numbers is the greatest common divisor

So, the GCD (420, 531, 951, 814) = 1.

Find GCD of 420, 531, 951, 814 using Prime Factorization

Given numbers are 420, 531, 951, 814

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 531 are 3 x 3 x 59

Prime factors of 951 are 3 x 317

Prime factors of 814 are 2 x 11 x 37

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

Steps to Calculate GCD of 420, 531, 951, 814 using LCM Formula

Given numbers are 420, 531, 951, 814

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

Apply this formula for all numbers.

Step1:

LCM(420, 531) = 74340

GCD(420, 531) = ( 420 x 531 ) / 74340

= 420 / 531

= 420


Step2:

LCM(3, 951) = 951

GCD(3, 951) = ( 3 x 951 ) / 951

= 3 / 951

= 3


Step3:

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

= 3 / 814

= 3


So, Greatest Common Divisor of 420, 531, 951, 814 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 531, 951, 814

Given numbers are 420, 531, 951, 814
The greatest common divisor of numbers 420, 531, 951, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 531, 951, 814 is 1.

FAQs on GCD of 420, 531, 951, 814 Calculator

1. What is the GCD of 420, 531, 951, 814?

GCD of given numbers 420, 531, 951, 814 is 1


2. How to calculate the greatest common divisor of 420, 531, 951, 814?

We can find the highest common divisor of 420, 531, 951, 814 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, 531, 951, 814 i.e 1.


3. How can I use the GCD of 420, 531, 951, 814Calculator?

Out the numbers 420, 531, 951, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.