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 236, 642, 548, 868 i.e. 2 largest integer that divides all the numbers equally.
GCD of 236, 642, 548, 868 is 2
GCD(236, 642, 548, 868) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 642, 548, 868 is 2
GCD(236, 642, 548, 868) = 2
Given Input numbers are 236, 642, 548, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 236, 642, 548, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 642, 548, 868 is 2.
Therefore, GCD of numbers 236, 642, 548, 868 is 2
Given Input Data is 236, 642, 548, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 868 is 2 x 2 x 7 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(236, 642) = 75756
GCD(236, 642) = ( 236 x 642 ) / 75756
GCD(236, 642) = 151512 / 75756
GCD(236, 642) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
GCD(2, 548) = 1096 / 548
GCD(2, 548) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
GCD(2, 868) = 1736 / 868
GCD(2, 868) = 2
GCD of 236, 642, 548, 868 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 642, 548, 868?
GCD of 236, 642, 548, 868 is 2
2. Where do I get the detailed procedure to find GCD of 236, 642, 548, 868?
You can find a detailed procedure to find GCD of 236, 642, 548, 868 on our page.
3. How to find GCD of 236, 642, 548, 868 on a calculator?
You can find the GCD of 236, 642, 548, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.