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GCD of 617, 567, 678, 961 Calculator

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


Online GCD Calculator is useful to find the GCD of 617, 567, 678, 961 quickly. Get the easiest ways to solve the greatest common divisor of 617, 567, 678, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 617, 567, 678, 961 with Factoring?

Given Input numbers are 617, 567, 678, 961

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

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (617, 567, 678, 961) = 1.

Find GCD of 617, 567, 678, 961 using Prime Factorization

Given numbers are 617, 567, 678, 961

The list of prime factors of all numbers are

Prime factors of 617 are 617

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 678 are 2 x 3 x 113

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 617, 567, 678, 961 using LCM Formula

Given numbers are 617, 567, 678, 961

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

Apply this formula for all numbers.

Step1:

LCM(617, 567) = 349839

GCD(617, 567) = ( 617 x 567 ) / 349839

= 617 / 567

= 617


Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


So, Greatest Common Divisor of 617, 567, 678, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 617, 567, 678, 961

Given numbers are 617, 567, 678, 961
The greatest common divisor of numbers 617, 567, 678, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 617, 567, 678, 961 is 1.

FAQs on GCD of 617, 567, 678, 961 Calculator

1. What is the GCD of 617, 567, 678, 961?

GCD of given numbers 617, 567, 678, 961 is 1


2. How to calculate the greatest common divisor of 617, 567, 678, 961?

We can find the highest common divisor of 617, 567, 678, 961 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 617, 567, 678, 961 i.e 1.


3. How can I use the GCD of 617, 567, 678, 961Calculator?

Out the numbers 617, 567, 678, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.