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GCD of 920, 724, 614, 613 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 724, 614, 613 quickly. Get the easiest ways to solve the greatest common divisor of 920, 724, 614, 613 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 724, 614, 613 with Factoring?

Given Input numbers are 920, 724, 614, 613

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613


GCD of numbers is the greatest common divisor

So, the GCD (920, 724, 614, 613) = 1.

Find GCD of 920, 724, 614, 613 using Prime Factorization

Given numbers are 920, 724, 614, 613

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 724 are 2 x 2 x 181

Prime factors of 614 are 2 x 307

Prime factors of 613 are 613

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

Steps to Calculate GCD of 920, 724, 614, 613 using LCM Formula

Given numbers are 920, 724, 614, 613

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

Apply this formula for all numbers.

Step1:

LCM(920, 724) = 166520

GCD(920, 724) = ( 920 x 724 ) / 166520

= 920 / 724

= 920


Step2:

LCM(4, 614) = 1228

GCD(4, 614) = ( 4 x 614 ) / 1228

= 4 / 614

= 4


Step3:

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

= 2 / 613

= 2


So, Greatest Common Divisor of 920, 724, 614, 613 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 724, 614, 613

Given numbers are 920, 724, 614, 613
The greatest common divisor of numbers 920, 724, 614, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 724, 614, 613 is 1.

FAQs on GCD of 920, 724, 614, 613 Calculator

1. What is the GCD of 920, 724, 614, 613?

GCD of given numbers 920, 724, 614, 613 is 1


2. How to calculate the greatest common divisor of 920, 724, 614, 613?

We can find the highest common divisor of 920, 724, 614, 613 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 920, 724, 614, 613 i.e 1.


3. How can I use the GCD of 920, 724, 614, 613Calculator?

Out the numbers 920, 724, 614, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.