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GCD of 725, 813, 960, 340 Calculator

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


Online GCD Calculator is useful to find the GCD of 725, 813, 960, 340 quickly. Get the easiest ways to solve the greatest common divisor of 725, 813, 960, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 725, 813, 960, 340 with Factoring?

Given Input numbers are 725, 813, 960, 340

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (725, 813, 960, 340) = 1.

Find GCD of 725, 813, 960, 340 using Prime Factorization

Given numbers are 725, 813, 960, 340

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 813 are 3 x 271

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 725, 813, 960, 340 using LCM Formula

Given numbers are 725, 813, 960, 340

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

Apply this formula for all numbers.

Step1:

LCM(725, 813) = 589425

GCD(725, 813) = ( 725 x 813 ) / 589425

= 725 / 813

= 725


Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1


Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


So, Greatest Common Divisor of 725, 813, 960, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 725, 813, 960, 340

Given numbers are 725, 813, 960, 340
The greatest common divisor of numbers 725, 813, 960, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 813, 960, 340 is 1.

FAQs on GCD of 725, 813, 960, 340 Calculator

1. What is the GCD of 725, 813, 960, 340?

GCD of given numbers 725, 813, 960, 340 is 1


2. How to calculate the greatest common divisor of 725, 813, 960, 340?

We can find the highest common divisor of 725, 813, 960, 340 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 725, 813, 960, 340 i.e 1.


3. How can I use the GCD of 725, 813, 960, 340Calculator?

Out the numbers 725, 813, 960, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.