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, 976, 996, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 976, 996, 537 is 1
GCD(970, 976, 996, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 976, 996, 537 is 1
GCD(970, 976, 996, 537) = 1
Given Input numbers are 970, 976, 996, 537
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 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 970, 976, 996, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 976, 996, 537 is 1.
Therefore, GCD of numbers 970, 976, 996, 537 is 1
Given Input Data is 970, 976, 996, 537
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 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 537 is 3 x 179
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, 976) = 473360
GCD(970, 976) = ( 970 x 976 ) / 473360
GCD(970, 976) = 946720 / 473360
GCD(970, 976) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
GCD(2, 996) = 1992 / 996
GCD(2, 996) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 537) = 1074
GCD(2, 537) = ( 2 x 537 ) / 1074
GCD(2, 537) = 1074 / 1074
GCD(2, 537) = 1
GCD of 970, 976, 996, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 976, 996, 537?
GCD of 970, 976, 996, 537 is 1
2. Where do I get the detailed procedure to find GCD of 970, 976, 996, 537?
You can find a detailed procedure to find GCD of 970, 976, 996, 537 on our page.
3. How to find GCD of 970, 976, 996, 537 on a calculator?
You can find the GCD of 970, 976, 996, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.