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 976, 646, 537, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 646, 537, 428 is 1
GCD(976, 646, 537, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 646, 537, 428 is 1
GCD(976, 646, 537, 428) = 1
Given Input numbers are 976, 646, 537, 428
To find the GCD of numbers using factoring list out all the divisors of each number
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 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 976, 646, 537, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 646, 537, 428 is 1.
Therefore, GCD of numbers 976, 646, 537, 428 is 1
Given Input Data is 976, 646, 537, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 537 is 3 x 179
Prime Factorization of 428 is 2 x 2 x 107
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(976, 646) = 315248
GCD(976, 646) = ( 976 x 646 ) / 315248
GCD(976, 646) = 630496 / 315248
GCD(976, 646) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 976, 646, 537, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 646, 537, 428?
GCD of 976, 646, 537, 428 is 1
2. Where do I get the detailed procedure to find GCD of 976, 646, 537, 428?
You can find a detailed procedure to find GCD of 976, 646, 537, 428 on our page.
3. How to find GCD of 976, 646, 537, 428 on a calculator?
You can find the GCD of 976, 646, 537, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.