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 940, 936, 538, 642 i.e. 2 largest integer that divides all the numbers equally.
GCD of 940, 936, 538, 642 is 2
GCD(940, 936, 538, 642) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 936, 538, 642 is 2
GCD(940, 936, 538, 642) = 2
Given Input numbers are 940, 936, 538, 642
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 940, 936, 538, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 936, 538, 642 is 2.
Therefore, GCD of numbers 940, 936, 538, 642 is 2
Given Input Data is 940, 936, 538, 642
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 538 is 2 x 269
Prime Factorization of 642 is 2 x 3 x 107
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(940, 936) = 219960
GCD(940, 936) = ( 940 x 936 ) / 219960
GCD(940, 936) = 879840 / 219960
GCD(940, 936) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 538) = 1076
GCD(4, 538) = ( 4 x 538 ) / 1076
GCD(4, 538) = 2152 / 1076
GCD(4, 538) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
GCD(2, 642) = 1284 / 642
GCD(2, 642) = 2
GCD of 940, 936, 538, 642 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 936, 538, 642?
GCD of 940, 936, 538, 642 is 2
2. Where do I get the detailed procedure to find GCD of 940, 936, 538, 642?
You can find a detailed procedure to find GCD of 940, 936, 538, 642 on our page.
3. How to find GCD of 940, 936, 538, 642 on a calculator?
You can find the GCD of 940, 936, 538, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.