LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 724, 524, 381, 961 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 524, 381, 961 quickly. Get the easiest ways to solve the greatest common divisor of 724, 524, 381, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 524, 381, 961 with Factoring?

Given Input numbers are 724, 524, 381, 961

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (724, 524, 381, 961) = 1.

Find GCD of 724, 524, 381, 961 using Prime Factorization

Given numbers are 724, 524, 381, 961

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 524 are 2 x 2 x 131

Prime factors of 381 are 3 x 127

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 724, 524, 381, 961 using LCM Formula

Given numbers are 724, 524, 381, 961

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

Apply this formula for all numbers.

Step1:

LCM(724, 524) = 94844

GCD(724, 524) = ( 724 x 524 ) / 94844

= 724 / 524

= 724


Step2:

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

= 4 / 381

= 4


Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


So, Greatest Common Divisor of 724, 524, 381, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 524, 381, 961

Given numbers are 724, 524, 381, 961
The greatest common divisor of numbers 724, 524, 381, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 524, 381, 961 is 1.

FAQs on GCD of 724, 524, 381, 961 Calculator

1. What is the GCD of 724, 524, 381, 961?

GCD of given numbers 724, 524, 381, 961 is 1


2. How to calculate the greatest common divisor of 724, 524, 381, 961?

We can find the highest common divisor of 724, 524, 381, 961 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 724, 524, 381, 961 i.e 1.


3. How can I use the GCD of 724, 524, 381, 961Calculator?

Out the numbers 724, 524, 381, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.