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 763, 938, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 938, 970 is 1
GCD(763, 938, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 938, 970 is 1
GCD(763, 938, 970) = 1
Given Input numbers are 763, 938, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 763, 938, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 938, 970 is 1.
Therefore, GCD of numbers 763, 938, 970 is 1
Given Input Data is 763, 938, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 970 is 2 x 5 x 97
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(763, 938) = 102242
GCD(763, 938) = ( 763 x 938 ) / 102242
GCD(763, 938) = 715694 / 102242
GCD(763, 938) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 970) = 6790
GCD(7, 970) = ( 7 x 970 ) / 6790
GCD(7, 970) = 6790 / 6790
GCD(7, 970) = 1
GCD of 763, 938, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 938, 970?
GCD of 763, 938, 970 is 1
2. Where do I get the detailed procedure to find GCD of 763, 938, 970?
You can find a detailed procedure to find GCD of 763, 938, 970 on our page.
3. How to find GCD of 763, 938, 970 on a calculator?
You can find the GCD of 763, 938, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.