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 378, 938, 96, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 938, 96, 557 is 1
GCD(378, 938, 96, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 938, 96, 557 is 1
GCD(378, 938, 96, 557) = 1
Given Input numbers are 378, 938, 96, 557
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 378, 938, 96, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 938, 96, 557 is 1.
Therefore, GCD of numbers 378, 938, 96, 557 is 1
Given Input Data is 378, 938, 96, 557
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 557 is 557
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(378, 938) = 25326
GCD(378, 938) = ( 378 x 938 ) / 25326
GCD(378, 938) = 354564 / 25326
GCD(378, 938) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 96) = 672
GCD(14, 96) = ( 14 x 96 ) / 672
GCD(14, 96) = 1344 / 672
GCD(14, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 557) = 1114
GCD(2, 557) = ( 2 x 557 ) / 1114
GCD(2, 557) = 1114 / 1114
GCD(2, 557) = 1
GCD of 378, 938, 96, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 938, 96, 557?
GCD of 378, 938, 96, 557 is 1
2. Where do I get the detailed procedure to find GCD of 378, 938, 96, 557?
You can find a detailed procedure to find GCD of 378, 938, 96, 557 on our page.
3. How to find GCD of 378, 938, 96, 557 on a calculator?
You can find the GCD of 378, 938, 96, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.