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, 959, 71, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 959, 71, 255 is 1
GCD(747, 959, 71, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 959, 71, 255 is 1
GCD(747, 959, 71, 255) = 1
Given Input numbers are 747, 959, 71, 255
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Greatest Common Divisior
We found the divisors of 747, 959, 71, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 959, 71, 255 is 1.
Therefore, GCD of numbers 747, 959, 71, 255 is 1
Given Input Data is 747, 959, 71, 255
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 959 is 7 x 137
Prime Factorization of 71 is 71
Prime Factorization of 255 is 3 x 5 x 17
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, 959) = 716373
GCD(747, 959) = ( 747 x 959 ) / 716373
GCD(747, 959) = 716373 / 716373
GCD(747, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
GCD of 747, 959, 71, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 959, 71, 255?
GCD of 747, 959, 71, 255 is 1
2. Where do I get the detailed procedure to find GCD of 747, 959, 71, 255?
You can find a detailed procedure to find GCD of 747, 959, 71, 255 on our page.
3. How to find GCD of 747, 959, 71, 255 on a calculator?
You can find the GCD of 747, 959, 71, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.