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 747, 736, 35, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 736, 35, 646 is 1
GCD(747, 736, 35, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 736, 35, 646 is 1
GCD(747, 736, 35, 646) = 1
Given Input numbers are 747, 736, 35, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 747, 736, 35, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 736, 35, 646 is 1.
Therefore, GCD of numbers 747, 736, 35, 646 is 1
Given Input Data is 747, 736, 35, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 35 is 5 x 7
Prime Factorization of 646 is 2 x 17 x 19
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(747, 736) = 549792
GCD(747, 736) = ( 747 x 736 ) / 549792
GCD(747, 736) = 549792 / 549792
GCD(747, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 747, 736, 35, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 736, 35, 646?
GCD of 747, 736, 35, 646 is 1
2. Where do I get the detailed procedure to find GCD of 747, 736, 35, 646?
You can find a detailed procedure to find GCD of 747, 736, 35, 646 on our page.
3. How to find GCD of 747, 736, 35, 646 on a calculator?
You can find the GCD of 747, 736, 35, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.