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, 762, 52 i.e. 2 largest integer that divides all the numbers equally.
GCD of 970, 762, 52 is 2
GCD(970, 762, 52) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 762, 52 is 2
GCD(970, 762, 52) = 2
Given Input numbers are 970, 762, 52
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Greatest Common Divisior
We found the divisors of 970, 762, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 762, 52 is 2.
Therefore, GCD of numbers 970, 762, 52 is 2
Given Input Data is 970, 762, 52
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 762 is 2 x 3 x 127
Prime Factorization of 52 is 2 x 2 x 13
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, 762) = 369570
GCD(970, 762) = ( 970 x 762 ) / 369570
GCD(970, 762) = 739140 / 369570
GCD(970, 762) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
GCD of 970, 762, 52 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 762, 52?
GCD of 970, 762, 52 is 2
2. Where do I get the detailed procedure to find GCD of 970, 762, 52?
You can find a detailed procedure to find GCD of 970, 762, 52 on our page.
3. How to find GCD of 970, 762, 52 on a calculator?
You can find the GCD of 970, 762, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.