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, 516, 147, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 516, 147, 451 is 1
GCD(747, 516, 147, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 516, 147, 451 is 1
GCD(747, 516, 147, 451) = 1
Given Input numbers are 747, 516, 147, 451
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 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 747, 516, 147, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 516, 147, 451 is 1.
Therefore, GCD of numbers 747, 516, 147, 451 is 1
Given Input Data is 747, 516, 147, 451
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 516 is 2 x 2 x 3 x 43
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 451 is 11 x 41
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, 516) = 128484
GCD(747, 516) = ( 747 x 516 ) / 128484
GCD(747, 516) = 385452 / 128484
GCD(747, 516) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
GCD(3, 147) = 441 / 147
GCD(3, 147) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 451) = 1353
GCD(3, 451) = ( 3 x 451 ) / 1353
GCD(3, 451) = 1353 / 1353
GCD(3, 451) = 1
GCD of 747, 516, 147, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 516, 147, 451?
GCD of 747, 516, 147, 451 is 1
2. Where do I get the detailed procedure to find GCD of 747, 516, 147, 451?
You can find a detailed procedure to find GCD of 747, 516, 147, 451 on our page.
3. How to find GCD of 747, 516, 147, 451 on a calculator?
You can find the GCD of 747, 516, 147, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.