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, 172, 63, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 172, 63, 702 is 1
GCD(747, 172, 63, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 172, 63, 702 is 1
GCD(747, 172, 63, 702) = 1
Given Input numbers are 747, 172, 63, 702
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 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 747, 172, 63, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 172, 63, 702 is 1.
Therefore, GCD of numbers 747, 172, 63, 702 is 1
Given Input Data is 747, 172, 63, 702
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 172 is 2 x 2 x 43
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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, 172) = 128484
GCD(747, 172) = ( 747 x 172 ) / 128484
GCD(747, 172) = 128484 / 128484
GCD(747, 172) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 747, 172, 63, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 172, 63, 702?
GCD of 747, 172, 63, 702 is 1
2. Where do I get the detailed procedure to find GCD of 747, 172, 63, 702?
You can find a detailed procedure to find GCD of 747, 172, 63, 702 on our page.
3. How to find GCD of 747, 172, 63, 702 on a calculator?
You can find the GCD of 747, 172, 63, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.