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, 682, 733, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 682, 733, 912 is 1
GCD(970, 682, 733, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 682, 733, 912 is 1
GCD(970, 682, 733, 912) = 1
Given Input numbers are 970, 682, 733, 912
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 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 970, 682, 733, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 682, 733, 912 is 1.
Therefore, GCD of numbers 970, 682, 733, 912 is 1
Given Input Data is 970, 682, 733, 912
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 682 is 2 x 11 x 31
Prime Factorization of 733 is 733
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(970, 682) = 330770
GCD(970, 682) = ( 970 x 682 ) / 330770
GCD(970, 682) = 661540 / 330770
GCD(970, 682) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
GCD(2, 733) = 1466 / 1466
GCD(2, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 970, 682, 733, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 682, 733, 912?
GCD of 970, 682, 733, 912 is 1
2. Where do I get the detailed procedure to find GCD of 970, 682, 733, 912?
You can find a detailed procedure to find GCD of 970, 682, 733, 912 on our page.
3. How to find GCD of 970, 682, 733, 912 on a calculator?
You can find the GCD of 970, 682, 733, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.