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 274, 879, 20, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 879, 20, 376 is 1
GCD(274, 879, 20, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 879, 20, 376 is 1
GCD(274, 879, 20, 376) = 1
Given Input numbers are 274, 879, 20, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 274, 879, 20, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 879, 20, 376 is 1.
Therefore, GCD of numbers 274, 879, 20, 376 is 1
Given Input Data is 274, 879, 20, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 879 is 3 x 293
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(274, 879) = 240846
GCD(274, 879) = ( 274 x 879 ) / 240846
GCD(274, 879) = 240846 / 240846
GCD(274, 879) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 274, 879, 20, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 879, 20, 376?
GCD of 274, 879, 20, 376 is 1
2. Where do I get the detailed procedure to find GCD of 274, 879, 20, 376?
You can find a detailed procedure to find GCD of 274, 879, 20, 376 on our page.
3. How to find GCD of 274, 879, 20, 376 on a calculator?
You can find the GCD of 274, 879, 20, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.