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GCD of 977, 260, 123, 782 Calculator

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


Online GCD Calculator is useful to find the GCD of 977, 260, 123, 782 quickly. Get the easiest ways to solve the greatest common divisor of 977, 260, 123, 782 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 260, 123, 782 with Factoring?

Given Input numbers are 977, 260, 123, 782

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782


GCD of numbers is the greatest common divisor

So, the GCD (977, 260, 123, 782) = 1.

Find GCD of 977, 260, 123, 782 using Prime Factorization

Given numbers are 977, 260, 123, 782

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 123 are 3 x 41

Prime factors of 782 are 2 x 17 x 23

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

Steps to Calculate GCD of 977, 260, 123, 782 using LCM Formula

Given numbers are 977, 260, 123, 782

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

Apply this formula for all numbers.

Step1:

LCM(977, 260) = 254020

GCD(977, 260) = ( 977 x 260 ) / 254020

= 977 / 260

= 977


Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1


Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1


So, Greatest Common Divisor of 977, 260, 123, 782 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 260, 123, 782

Given numbers are 977, 260, 123, 782
The greatest common divisor of numbers 977, 260, 123, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 260, 123, 782 is 1.

FAQs on GCD of 977, 260, 123, 782 Calculator

1. What is the GCD of 977, 260, 123, 782?

GCD of given numbers 977, 260, 123, 782 is 1


2. How to calculate the greatest common divisor of 977, 260, 123, 782?

We can find the highest common divisor of 977, 260, 123, 782 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 977, 260, 123, 782 i.e 1.


3. How can I use the GCD of 977, 260, 123, 782Calculator?

Out the numbers 977, 260, 123, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.