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GCD of 676, 732, 751, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 732, 751, 420 quickly. Get the easiest ways to solve the greatest common divisor of 676, 732, 751, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 732, 751, 420 with Factoring?

Given Input numbers are 676, 732, 751, 420

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 751 :

The positive integer divisors of 751 that completely divides 751 are.

1, 751

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


GCD of numbers is the greatest common divisor

So, the GCD (676, 732, 751, 420) = 1.

Find GCD of 676, 732, 751, 420 using Prime Factorization

Given numbers are 676, 732, 751, 420

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 751 are 751

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

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

Steps to Calculate GCD of 676, 732, 751, 420 using LCM Formula

Given numbers are 676, 732, 751, 420

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

Apply this formula for all numbers.

Step1:

LCM(676, 732) = 123708

GCD(676, 732) = ( 676 x 732 ) / 123708

= 676 / 732

= 676


Step2:

LCM(4, 751) = 3004

GCD(4, 751) = ( 4 x 751 ) / 3004

= 4 / 751

= 4


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 676, 732, 751, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 732, 751, 420

Given numbers are 676, 732, 751, 420
The greatest common divisor of numbers 676, 732, 751, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 732, 751, 420 is 1.

FAQs on GCD of 676, 732, 751, 420 Calculator

1. What is the GCD of 676, 732, 751, 420?

GCD of given numbers 676, 732, 751, 420 is 1


2. How to calculate the greatest common divisor of 676, 732, 751, 420?

We can find the highest common divisor of 676, 732, 751, 420 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 676, 732, 751, 420 i.e 1.


3. How can I use the GCD of 676, 732, 751, 420Calculator?

Out the numbers 676, 732, 751, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.