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 828, 379, 136, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 379, 136, 946 is 1
GCD(828, 379, 136, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 379, 136, 946 is 1
GCD(828, 379, 136, 946) = 1
Given Input numbers are 828, 379, 136, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 828, 379, 136, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 379, 136, 946 is 1.
Therefore, GCD of numbers 828, 379, 136, 946 is 1
Given Input Data is 828, 379, 136, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 379 is 379
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 946 is 2 x 11 x 43
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(828, 379) = 313812
GCD(828, 379) = ( 828 x 379 ) / 313812
GCD(828, 379) = 313812 / 313812
GCD(828, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 828, 379, 136, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 379, 136, 946?
GCD of 828, 379, 136, 946 is 1
2. Where do I get the detailed procedure to find GCD of 828, 379, 136, 946?
You can find a detailed procedure to find GCD of 828, 379, 136, 946 on our page.
3. How to find GCD of 828, 379, 136, 946 on a calculator?
You can find the GCD of 828, 379, 136, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.