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GCD of 861, 497, 977, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 861, 497, 977, 369 quickly. Get the easiest ways to solve the greatest common divisor of 861, 497, 977, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 861, 497, 977, 369 with Factoring?

Given Input numbers are 861, 497, 977, 369

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 977 :

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

1, 977

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (861, 497, 977, 369) = 1.

Find GCD of 861, 497, 977, 369 using Prime Factorization

Given numbers are 861, 497, 977, 369

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 497 are 7 x 71

Prime factors of 977 are 977

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 861, 497, 977, 369 using LCM Formula

Given numbers are 861, 497, 977, 369

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

Apply this formula for all numbers.

Step1:

LCM(861, 497) = 61131

GCD(861, 497) = ( 861 x 497 ) / 61131

= 861 / 497

= 861


Step2:

LCM(7, 977) = 6839

GCD(7, 977) = ( 7 x 977 ) / 6839

= 7 / 977

= 7


Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


So, Greatest Common Divisor of 861, 497, 977, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 861, 497, 977, 369

Given numbers are 861, 497, 977, 369
The greatest common divisor of numbers 861, 497, 977, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 497, 977, 369 is 1.

FAQs on GCD of 861, 497, 977, 369 Calculator

1. What is the GCD of 861, 497, 977, 369?

GCD of given numbers 861, 497, 977, 369 is 1


2. How to calculate the greatest common divisor of 861, 497, 977, 369?

We can find the highest common divisor of 861, 497, 977, 369 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 861, 497, 977, 369 i.e 1.


3. How can I use the GCD of 861, 497, 977, 369Calculator?

Out the numbers 861, 497, 977, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.