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GCD of 424, 475, 772, 731 Calculator

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


Online GCD Calculator is useful to find the GCD of 424, 475, 772, 731 quickly. Get the easiest ways to solve the greatest common divisor of 424, 475, 772, 731 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 424, 475, 772, 731 with Factoring?

Given Input numbers are 424, 475, 772, 731

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731


GCD of numbers is the greatest common divisor

So, the GCD (424, 475, 772, 731) = 1.

Find GCD of 424, 475, 772, 731 using Prime Factorization

Given numbers are 424, 475, 772, 731

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 475 are 5 x 5 x 19

Prime factors of 772 are 2 x 2 x 193

Prime factors of 731 are 17 x 43

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

Steps to Calculate GCD of 424, 475, 772, 731 using LCM Formula

Given numbers are 424, 475, 772, 731

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

Apply this formula for all numbers.

Step1:

LCM(424, 475) = 201400

GCD(424, 475) = ( 424 x 475 ) / 201400

= 424 / 475

= 424


Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1


So, Greatest Common Divisor of 424, 475, 772, 731 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 424, 475, 772, 731

Given numbers are 424, 475, 772, 731
The greatest common divisor of numbers 424, 475, 772, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 475, 772, 731 is 1.

FAQs on GCD of 424, 475, 772, 731 Calculator

1. What is the GCD of 424, 475, 772, 731?

GCD of given numbers 424, 475, 772, 731 is 1


2. How to calculate the greatest common divisor of 424, 475, 772, 731?

We can find the highest common divisor of 424, 475, 772, 731 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 424, 475, 772, 731 i.e 1.


3. How can I use the GCD of 424, 475, 772, 731Calculator?

Out the numbers 424, 475, 772, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.