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 920, 880, 412, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 880, 412, 379 is 1
GCD(920, 880, 412, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 880, 412, 379 is 1
GCD(920, 880, 412, 379) = 1
Given Input numbers are 920, 880, 412, 379
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 920, 880, 412, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 880, 412, 379 is 1.
Therefore, GCD of numbers 920, 880, 412, 379 is 1
Given Input Data is 920, 880, 412, 379
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 379 is 379
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(920, 880) = 20240
GCD(920, 880) = ( 920 x 880 ) / 20240
GCD(920, 880) = 809600 / 20240
GCD(920, 880) = 40
Step2:
Here we consider the GCD from the above i.e. 40 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(40, 412) = 4120
GCD(40, 412) = ( 40 x 412 ) / 4120
GCD(40, 412) = 16480 / 4120
GCD(40, 412) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 379) = 1516
GCD(4, 379) = ( 4 x 379 ) / 1516
GCD(4, 379) = 1516 / 1516
GCD(4, 379) = 1
GCD of 920, 880, 412, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 880, 412, 379?
GCD of 920, 880, 412, 379 is 1
2. Where do I get the detailed procedure to find GCD of 920, 880, 412, 379?
You can find a detailed procedure to find GCD of 920, 880, 412, 379 on our page.
3. How to find GCD of 920, 880, 412, 379 on a calculator?
You can find the GCD of 920, 880, 412, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.