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GCD of 725, 258, 925, 660 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, 258, 925, 660 quickly. Get the easiest ways to solve the greatest common divisor of 725, 258, 925, 660 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 725, 258, 925, 660 with Factoring?

Given Input numbers are 725, 258, 925, 660

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 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 925 :

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

1, 5, 25, 37, 185, 925

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (725, 258, 925, 660) = 1.

Find GCD of 725, 258, 925, 660 using Prime Factorization

Given numbers are 725, 258, 925, 660

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 258 are 2 x 3 x 43

Prime factors of 925 are 5 x 5 x 37

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Steps to Calculate GCD of 725, 258, 925, 660 using LCM Formula

Given numbers are 725, 258, 925, 660

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

Apply this formula for all numbers.

Step1:

LCM(725, 258) = 187050

GCD(725, 258) = ( 725 x 258 ) / 187050

= 725 / 258

= 725


Step2:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1


Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


So, Greatest Common Divisor of 725, 258, 925, 660 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 725, 258, 925, 660

Given numbers are 725, 258, 925, 660
The greatest common divisor of numbers 725, 258, 925, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 258, 925, 660 is 1.

FAQs on GCD of 725, 258, 925, 660 Calculator

1. What is the GCD of 725, 258, 925, 660?

GCD of given numbers 725, 258, 925, 660 is 1


2. How to calculate the greatest common divisor of 725, 258, 925, 660?

We can find the highest common divisor of 725, 258, 925, 660 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, 258, 925, 660 i.e 1.


3. How can I use the GCD of 725, 258, 925, 660Calculator?

Out the numbers 725, 258, 925, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.