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 737, 846, 31, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 846, 31, 636 is 1
GCD(737, 846, 31, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 846, 31, 636 is 1
GCD(737, 846, 31, 636) = 1
Given Input numbers are 737, 846, 31, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 737, 846, 31, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 846, 31, 636 is 1.
Therefore, GCD of numbers 737, 846, 31, 636 is 1
Given Input Data is 737, 846, 31, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 31 is 31
Prime Factorization of 636 is 2 x 2 x 3 x 53
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(737, 846) = 623502
GCD(737, 846) = ( 737 x 846 ) / 623502
GCD(737, 846) = 623502 / 623502
GCD(737, 846) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
GCD(1, 636) = 636 / 636
GCD(1, 636) = 1
GCD of 737, 846, 31, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 846, 31, 636?
GCD of 737, 846, 31, 636 is 1
2. Where do I get the detailed procedure to find GCD of 737, 846, 31, 636?
You can find a detailed procedure to find GCD of 737, 846, 31, 636 on our page.
3. How to find GCD of 737, 846, 31, 636 on a calculator?
You can find the GCD of 737, 846, 31, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.