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GCD of 925, 800, 724, 686 Calculator

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


Online GCD Calculator is useful to find the GCD of 925, 800, 724, 686 quickly. Get the easiest ways to solve the greatest common divisor of 925, 800, 724, 686 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 925, 800, 724, 686 with Factoring?

Given Input numbers are 925, 800, 724, 686

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

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686


GCD of numbers is the greatest common divisor

So, the GCD (925, 800, 724, 686) = 1.

Find GCD of 925, 800, 724, 686 using Prime Factorization

Given numbers are 925, 800, 724, 686

The list of prime factors of all numbers are

Prime factors of 925 are 5 x 5 x 37

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 724 are 2 x 2 x 181

Prime factors of 686 are 2 x 7 x 7 x 7

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

Steps to Calculate GCD of 925, 800, 724, 686 using LCM Formula

Given numbers are 925, 800, 724, 686

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

Apply this formula for all numbers.

Step1:

LCM(925, 800) = 29600

GCD(925, 800) = ( 925 x 800 ) / 29600

= 925 / 800

= 925


Step2:

LCM(25, 724) = 18100

GCD(25, 724) = ( 25 x 724 ) / 18100

= 25 / 724

= 25


Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1


So, Greatest Common Divisor of 925, 800, 724, 686 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 925, 800, 724, 686

Given numbers are 925, 800, 724, 686
The greatest common divisor of numbers 925, 800, 724, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 800, 724, 686 is 1.

FAQs on GCD of 925, 800, 724, 686 Calculator

1. What is the GCD of 925, 800, 724, 686?

GCD of given numbers 925, 800, 724, 686 is 1


2. How to calculate the greatest common divisor of 925, 800, 724, 686?

We can find the highest common divisor of 925, 800, 724, 686 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 925, 800, 724, 686 i.e 1.


3. How can I use the GCD of 925, 800, 724, 686Calculator?

Out the numbers 925, 800, 724, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.