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GCD of 686, 261, 381, 748 Calculator

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


Online GCD Calculator is useful to find the GCD of 686, 261, 381, 748 quickly. Get the easiest ways to solve the greatest common divisor of 686, 261, 381, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 261, 381, 748 with Factoring?

Given Input numbers are 686, 261, 381, 748

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

Divisors of 686 :

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

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (686, 261, 381, 748) = 1.

Find GCD of 686, 261, 381, 748 using Prime Factorization

Given numbers are 686, 261, 381, 748

The list of prime factors of all numbers are

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

Prime factors of 261 are 3 x 3 x 29

Prime factors of 381 are 3 x 127

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 686, 261, 381, 748 using LCM Formula

Given numbers are 686, 261, 381, 748

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

Apply this formula for all numbers.

Step1:

LCM(686, 261) = 179046

GCD(686, 261) = ( 686 x 261 ) / 179046

= 686 / 261

= 686


Step2:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 686, 261, 381, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 261, 381, 748

Given numbers are 686, 261, 381, 748
The greatest common divisor of numbers 686, 261, 381, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 261, 381, 748 is 1.

FAQs on GCD of 686, 261, 381, 748 Calculator

1. What is the GCD of 686, 261, 381, 748?

GCD of given numbers 686, 261, 381, 748 is 1


2. How to calculate the greatest common divisor of 686, 261, 381, 748?

We can find the highest common divisor of 686, 261, 381, 748 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 686, 261, 381, 748 i.e 1.


3. How can I use the GCD of 686, 261, 381, 748Calculator?

Out the numbers 686, 261, 381, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.