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 974, 422, 80, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 422, 80, 551 is 1
GCD(974, 422, 80, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 422, 80, 551 is 1
GCD(974, 422, 80, 551) = 1
Given Input numbers are 974, 422, 80, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 974, 422, 80, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 422, 80, 551 is 1.
Therefore, GCD of numbers 974, 422, 80, 551 is 1
Given Input Data is 974, 422, 80, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 422 is 2 x 211
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 551 is 19 x 29
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(974, 422) = 205514
GCD(974, 422) = ( 974 x 422 ) / 205514
GCD(974, 422) = 411028 / 205514
GCD(974, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 80) = 80
GCD(2, 80) = ( 2 x 80 ) / 80
GCD(2, 80) = 160 / 80
GCD(2, 80) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 551) = 1102
GCD(2, 551) = ( 2 x 551 ) / 1102
GCD(2, 551) = 1102 / 1102
GCD(2, 551) = 1
GCD of 974, 422, 80, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 422, 80, 551?
GCD of 974, 422, 80, 551 is 1
2. Where do I get the detailed procedure to find GCD of 974, 422, 80, 551?
You can find a detailed procedure to find GCD of 974, 422, 80, 551 on our page.
3. How to find GCD of 974, 422, 80, 551 on a calculator?
You can find the GCD of 974, 422, 80, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.