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 874, 422, 54, 646 i.e. 2 largest integer that divides all the numbers equally.
GCD of 874, 422, 54, 646 is 2
GCD(874, 422, 54, 646) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 422, 54, 646 is 2
GCD(874, 422, 54, 646) = 2
Given Input numbers are 874, 422, 54, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 874, 422, 54, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 422, 54, 646 is 2.
Therefore, GCD of numbers 874, 422, 54, 646 is 2
Given Input Data is 874, 422, 54, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 422 is 2 x 211
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 646 is 2 x 17 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(874, 422) = 184414
GCD(874, 422) = ( 874 x 422 ) / 184414
GCD(874, 422) = 368828 / 184414
GCD(874, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
GCD(2, 646) = 1292 / 646
GCD(2, 646) = 2
GCD of 874, 422, 54, 646 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 422, 54, 646?
GCD of 874, 422, 54, 646 is 2
2. Where do I get the detailed procedure to find GCD of 874, 422, 54, 646?
You can find a detailed procedure to find GCD of 874, 422, 54, 646 on our page.
3. How to find GCD of 874, 422, 54, 646 on a calculator?
You can find the GCD of 874, 422, 54, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.