GCD of 454, 124, 34, 977 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 454, 124, 34, 977 i.e. 1 largest integer that divides all the numbers equally.

GCD of 454, 124, 34, 977 is 1

GCD(454, 124, 34, 977) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 454, 124, 34, 977 is 1

GCD(454, 124, 34, 977) = 1

GCD of 454,124,34,977 Calculator

GCDof 454,124,34,977 is 1

Given Input numbers are 454, 124, 34, 977

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 454, 124, 34, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 124, 34, 977 is 1.

Therefore, GCD of numbers 454, 124, 34, 977 is 1

Finding GCD of 454, 124, 34, 977 using Prime Factorization

Given Input Data is 454, 124, 34, 977

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 454 is 2 x 227

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 34 is 2 x 17

Prime Factorization of 977 is 977

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

Finding GCD of 454, 124, 34, 977 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(454, 124) = 28148

GCD(454, 124) = ( 454 x 124 ) / 28148

GCD(454, 124) = 56296 / 28148

GCD(454, 124) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

GCD of 454, 124, 34, 977 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 454, 124, 34, 977

1. What is the GCD of 454, 124, 34, 977?

GCD of 454, 124, 34, 977 is 1


2. Where do I get the detailed procedure to find GCD of 454, 124, 34, 977?

You can find a detailed procedure to find GCD of 454, 124, 34, 977 on our page.


3. How to find GCD of 454, 124, 34, 977 on a calculator?

You can find the GCD of 454, 124, 34, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.