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 numbers 454, 124, 34, 977 is 1
GCD(454, 124, 34, 977) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.