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GCD of 397, 808, 677, 461 Calculator

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


Online GCD Calculator is useful to find the GCD of 397, 808, 677, 461 quickly. Get the easiest ways to solve the greatest common divisor of 397, 808, 677, 461 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 397, 808, 677, 461 with Factoring?

Given Input numbers are 397, 808, 677, 461

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 677 :

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

1, 677

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461


GCD of numbers is the greatest common divisor

So, the GCD (397, 808, 677, 461) = 1.

Find GCD of 397, 808, 677, 461 using Prime Factorization

Given numbers are 397, 808, 677, 461

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 677 are 677

Prime factors of 461 are 461

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

Steps to Calculate GCD of 397, 808, 677, 461 using LCM Formula

Given numbers are 397, 808, 677, 461

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

Apply this formula for all numbers.

Step1:

LCM(397, 808) = 320776

GCD(397, 808) = ( 397 x 808 ) / 320776

= 397 / 808

= 397


Step2:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1


So, Greatest Common Divisor of 397, 808, 677, 461 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 397, 808, 677, 461

Given numbers are 397, 808, 677, 461
The greatest common divisor of numbers 397, 808, 677, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 808, 677, 461 is 1.

FAQs on GCD of 397, 808, 677, 461 Calculator

1. What is the GCD of 397, 808, 677, 461?

GCD of given numbers 397, 808, 677, 461 is 1


2. How to calculate the greatest common divisor of 397, 808, 677, 461?

We can find the highest common divisor of 397, 808, 677, 461 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 397, 808, 677, 461 i.e 1.


3. How can I use the GCD of 397, 808, 677, 461Calculator?

Out the numbers 397, 808, 677, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.