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GCD of 563, 374, 724, 725 Calculator

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


Online GCD Calculator is useful to find the GCD of 563, 374, 724, 725 quickly. Get the easiest ways to solve the greatest common divisor of 563, 374, 724, 725 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 563, 374, 724, 725 with Factoring?

Given Input numbers are 563, 374, 724, 725

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

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725


GCD of numbers is the greatest common divisor

So, the GCD (563, 374, 724, 725) = 1.

Find GCD of 563, 374, 724, 725 using Prime Factorization

Given numbers are 563, 374, 724, 725

The list of prime factors of all numbers are

Prime factors of 563 are 563

Prime factors of 374 are 2 x 11 x 17

Prime factors of 724 are 2 x 2 x 181

Prime factors of 725 are 5 x 5 x 29

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

Steps to Calculate GCD of 563, 374, 724, 725 using LCM Formula

Given numbers are 563, 374, 724, 725

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

Apply this formula for all numbers.

Step1:

LCM(563, 374) = 210562

GCD(563, 374) = ( 563 x 374 ) / 210562

= 563 / 374

= 563


Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1


Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1


So, Greatest Common Divisor of 563, 374, 724, 725 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 563, 374, 724, 725

Given numbers are 563, 374, 724, 725
The greatest common divisor of numbers 563, 374, 724, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 374, 724, 725 is 1.

FAQs on GCD of 563, 374, 724, 725 Calculator

1. What is the GCD of 563, 374, 724, 725?

GCD of given numbers 563, 374, 724, 725 is 1


2. How to calculate the greatest common divisor of 563, 374, 724, 725?

We can find the highest common divisor of 563, 374, 724, 725 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 563, 374, 724, 725 i.e 1.


3. How can I use the GCD of 563, 374, 724, 725Calculator?

Out the numbers 563, 374, 724, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.