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GCD of 977, 121, 905, 408 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, 121, 905, 408 quickly. Get the easiest ways to solve the greatest common divisor of 977, 121, 905, 408 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 121, 905, 408 with Factoring?

Given Input numbers are 977, 121, 905, 408

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 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408


GCD of numbers is the greatest common divisor

So, the GCD (977, 121, 905, 408) = 1.

Find GCD of 977, 121, 905, 408 using Prime Factorization

Given numbers are 977, 121, 905, 408

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 121 are 11 x 11

Prime factors of 905 are 5 x 181

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Steps to Calculate GCD of 977, 121, 905, 408 using LCM Formula

Given numbers are 977, 121, 905, 408

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

Apply this formula for all numbers.

Step1:

LCM(977, 121) = 118217

GCD(977, 121) = ( 977 x 121 ) / 118217

= 977 / 121

= 977


Step2:

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

= 1 / 905

= 1


Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1


So, Greatest Common Divisor of 977, 121, 905, 408 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 121, 905, 408

Given numbers are 977, 121, 905, 408
The greatest common divisor of numbers 977, 121, 905, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 121, 905, 408 is 1.

FAQs on GCD of 977, 121, 905, 408 Calculator

1. What is the GCD of 977, 121, 905, 408?

GCD of given numbers 977, 121, 905, 408 is 1


2. How to calculate the greatest common divisor of 977, 121, 905, 408?

We can find the highest common divisor of 977, 121, 905, 408 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, 121, 905, 408 i.e 1.


3. How can I use the GCD of 977, 121, 905, 408Calculator?

Out the numbers 977, 121, 905, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.