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 970, 780, 52, 124 i.e. 2 largest integer that divides all the numbers equally.
GCD of 970, 780, 52, 124 is 2
GCD(970, 780, 52, 124) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 780, 52, 124 is 2
GCD(970, 780, 52, 124) = 2
Given Input numbers are 970, 780, 52, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 970, 780, 52, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 780, 52, 124 is 2.
Therefore, GCD of numbers 970, 780, 52, 124 is 2
Given Input Data is 970, 780, 52, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 124 is 2 x 2 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(970, 780) = 75660
GCD(970, 780) = ( 970 x 780 ) / 75660
GCD(970, 780) = 756600 / 75660
GCD(970, 780) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 52) = 260
GCD(10, 52) = ( 10 x 52 ) / 260
GCD(10, 52) = 520 / 260
GCD(10, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
GCD(2, 124) = 248 / 124
GCD(2, 124) = 2
GCD of 970, 780, 52, 124 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 780, 52, 124?
GCD of 970, 780, 52, 124 is 2
2. Where do I get the detailed procedure to find GCD of 970, 780, 52, 124?
You can find a detailed procedure to find GCD of 970, 780, 52, 124 on our page.
3. How to find GCD of 970, 780, 52, 124 on a calculator?
You can find the GCD of 970, 780, 52, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.