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, 176, 876, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 176, 876, 601 is 1
GCD(974, 176, 876, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 176, 876, 601 is 1
GCD(974, 176, 876, 601) = 1
Given Input numbers are 974, 176, 876, 601
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 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 974, 176, 876, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 176, 876, 601 is 1.
Therefore, GCD of numbers 974, 176, 876, 601 is 1
Given Input Data is 974, 176, 876, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 601 is 601
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, 176) = 85712
GCD(974, 176) = ( 974 x 176 ) / 85712
GCD(974, 176) = 171424 / 85712
GCD(974, 176) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 876) = 876
GCD(2, 876) = ( 2 x 876 ) / 876
GCD(2, 876) = 1752 / 876
GCD(2, 876) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 601) = 1202
GCD(2, 601) = ( 2 x 601 ) / 1202
GCD(2, 601) = 1202 / 1202
GCD(2, 601) = 1
GCD of 974, 176, 876, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 176, 876, 601?
GCD of 974, 176, 876, 601 is 1
2. Where do I get the detailed procedure to find GCD of 974, 176, 876, 601?
You can find a detailed procedure to find GCD of 974, 176, 876, 601 on our page.
3. How to find GCD of 974, 176, 876, 601 on a calculator?
You can find the GCD of 974, 176, 876, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.