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 741, 646, 37, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 646, 37, 747 is 1
GCD(741, 646, 37, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 646, 37, 747 is 1
GCD(741, 646, 37, 747) = 1
Given Input numbers are 741, 646, 37, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
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 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 741, 646, 37, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 646, 37, 747 is 1.
Therefore, GCD of numbers 741, 646, 37, 747 is 1
Given Input Data is 741, 646, 37, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 37 is 37
Prime Factorization of 747 is 3 x 3 x 83
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(741, 646) = 25194
GCD(741, 646) = ( 741 x 646 ) / 25194
GCD(741, 646) = 478686 / 25194
GCD(741, 646) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 37) = 703
GCD(19, 37) = ( 19 x 37 ) / 703
GCD(19, 37) = 703 / 703
GCD(19, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 741, 646, 37, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 646, 37, 747?
GCD of 741, 646, 37, 747 is 1
2. Where do I get the detailed procedure to find GCD of 741, 646, 37, 747?
You can find a detailed procedure to find GCD of 741, 646, 37, 747 on our page.
3. How to find GCD of 741, 646, 37, 747 on a calculator?
You can find the GCD of 741, 646, 37, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.