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 637, 966, 849, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 966, 849, 732 is 1
GCD(637, 966, 849, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 966, 849, 732 is 1
GCD(637, 966, 849, 732) = 1
Given Input numbers are 637, 966, 849, 732
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 637, 966, 849, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 966, 849, 732 is 1.
Therefore, GCD of numbers 637, 966, 849, 732 is 1
Given Input Data is 637, 966, 849, 732
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 849 is 3 x 283
Prime Factorization of 732 is 2 x 2 x 3 x 61
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(637, 966) = 87906
GCD(637, 966) = ( 637 x 966 ) / 87906
GCD(637, 966) = 615342 / 87906
GCD(637, 966) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 849) = 5943
GCD(7, 849) = ( 7 x 849 ) / 5943
GCD(7, 849) = 5943 / 5943
GCD(7, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 637, 966, 849, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 966, 849, 732?
GCD of 637, 966, 849, 732 is 1
2. Where do I get the detailed procedure to find GCD of 637, 966, 849, 732?
You can find a detailed procedure to find GCD of 637, 966, 849, 732 on our page.
3. How to find GCD of 637, 966, 849, 732 on a calculator?
You can find the GCD of 637, 966, 849, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.