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GCD of 261, 916, 208, 125 Calculator

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


Online GCD Calculator is useful to find the GCD of 261, 916, 208, 125 quickly. Get the easiest ways to solve the greatest common divisor of 261, 916, 208, 125 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 261, 916, 208, 125 with Factoring?

Given Input numbers are 261, 916, 208, 125

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125


GCD of numbers is the greatest common divisor

So, the GCD (261, 916, 208, 125) = 1.

Find GCD of 261, 916, 208, 125 using Prime Factorization

Given numbers are 261, 916, 208, 125

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 916 are 2 x 2 x 229

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 125 are 5 x 5 x 5

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

Steps to Calculate GCD of 261, 916, 208, 125 using LCM Formula

Given numbers are 261, 916, 208, 125

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

Apply this formula for all numbers.

Step1:

LCM(261, 916) = 239076

GCD(261, 916) = ( 261 x 916 ) / 239076

= 261 / 916

= 261


Step2:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1


Step3:

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

= 1 / 125

= 1


So, Greatest Common Divisor of 261, 916, 208, 125 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 261, 916, 208, 125

Given numbers are 261, 916, 208, 125
The greatest common divisor of numbers 261, 916, 208, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 916, 208, 125 is 1.

FAQs on GCD of 261, 916, 208, 125 Calculator

1. What is the GCD of 261, 916, 208, 125?

GCD of given numbers 261, 916, 208, 125 is 1


2. How to calculate the greatest common divisor of 261, 916, 208, 125?

We can find the highest common divisor of 261, 916, 208, 125 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 261, 916, 208, 125 i.e 1.


3. How can I use the GCD of 261, 916, 208, 125Calculator?

Out the numbers 261, 916, 208, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.