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, 948, 83, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 948, 83, 236 is 1
GCD(378, 948, 83, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 948, 83, 236 is 1
GCD(378, 948, 83, 236) = 1
Given Input numbers are 378, 948, 83, 236
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 378, 948, 83, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 948, 83, 236 is 1.
Therefore, GCD of numbers 378, 948, 83, 236 is 1
Given Input Data is 378, 948, 83, 236
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 948 is 2 x 2 x 3 x 79
Prime Factorization of 83 is 83
Prime Factorization of 236 is 2 x 2 x 59
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, 948) = 59724
GCD(378, 948) = ( 378 x 948 ) / 59724
GCD(378, 948) = 358344 / 59724
GCD(378, 948) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 83) = 498
GCD(6, 83) = ( 6 x 83 ) / 498
GCD(6, 83) = 498 / 498
GCD(6, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 378, 948, 83, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 948, 83, 236?
GCD of 378, 948, 83, 236 is 1
2. Where do I get the detailed procedure to find GCD of 378, 948, 83, 236?
You can find a detailed procedure to find GCD of 378, 948, 83, 236 on our page.
3. How to find GCD of 378, 948, 83, 236 on a calculator?
You can find the GCD of 378, 948, 83, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.