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GCD of 654, 677, 776, 691 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 677, 776, 691 quickly. Get the easiest ways to solve the greatest common divisor of 654, 677, 776, 691 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 677, 776, 691 with Factoring?

Given Input numbers are 654, 677, 776, 691

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691


GCD of numbers is the greatest common divisor

So, the GCD (654, 677, 776, 691) = 1.

Find GCD of 654, 677, 776, 691 using Prime Factorization

Given numbers are 654, 677, 776, 691

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 677 are 677

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 691 are 691

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

Steps to Calculate GCD of 654, 677, 776, 691 using LCM Formula

Given numbers are 654, 677, 776, 691

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

Apply this formula for all numbers.

Step1:

LCM(654, 677) = 442758

GCD(654, 677) = ( 654 x 677 ) / 442758

= 654 / 677

= 654


Step2:

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

= 1 / 776

= 1


Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


So, Greatest Common Divisor of 654, 677, 776, 691 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 677, 776, 691

Given numbers are 654, 677, 776, 691
The greatest common divisor of numbers 654, 677, 776, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 677, 776, 691 is 1.

FAQs on GCD of 654, 677, 776, 691 Calculator

1. What is the GCD of 654, 677, 776, 691?

GCD of given numbers 654, 677, 776, 691 is 1


2. How to calculate the greatest common divisor of 654, 677, 776, 691?

We can find the highest common divisor of 654, 677, 776, 691 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 654, 677, 776, 691 i.e 1.


3. How can I use the GCD of 654, 677, 776, 691Calculator?

Out the numbers 654, 677, 776, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.