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GCD of 262, 980, 725, 187 Calculator

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


Online GCD Calculator is useful to find the GCD of 262, 980, 725, 187 quickly. Get the easiest ways to solve the greatest common divisor of 262, 980, 725, 187 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 262, 980, 725, 187 with Factoring?

Given Input numbers are 262, 980, 725, 187

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

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187


GCD of numbers is the greatest common divisor

So, the GCD (262, 980, 725, 187) = 1.

Find GCD of 262, 980, 725, 187 using Prime Factorization

Given numbers are 262, 980, 725, 187

The list of prime factors of all numbers are

Prime factors of 262 are 2 x 131

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 725 are 5 x 5 x 29

Prime factors of 187 are 11 x 17

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

Steps to Calculate GCD of 262, 980, 725, 187 using LCM Formula

Given numbers are 262, 980, 725, 187

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

Apply this formula for all numbers.

Step1:

LCM(262, 980) = 128380

GCD(262, 980) = ( 262 x 980 ) / 128380

= 262 / 980

= 262


Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2


Step3:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1


So, Greatest Common Divisor of 262, 980, 725, 187 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 262, 980, 725, 187

Given numbers are 262, 980, 725, 187
The greatest common divisor of numbers 262, 980, 725, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 262, 980, 725, 187 is 1.

FAQs on GCD of 262, 980, 725, 187 Calculator

1. What is the GCD of 262, 980, 725, 187?

GCD of given numbers 262, 980, 725, 187 is 1


2. How to calculate the greatest common divisor of 262, 980, 725, 187?

We can find the highest common divisor of 262, 980, 725, 187 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 262, 980, 725, 187 i.e 1.


3. How can I use the GCD of 262, 980, 725, 187Calculator?

Out the numbers 262, 980, 725, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.