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 759, 257, 31, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 257, 31, 132 is 1
GCD(759, 257, 31, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 257, 31, 132 is 1
GCD(759, 257, 31, 132) = 1
Given Input numbers are 759, 257, 31, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 759, 257, 31, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 257, 31, 132 is 1.
Therefore, GCD of numbers 759, 257, 31, 132 is 1
Given Input Data is 759, 257, 31, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 257 is 257
Prime Factorization of 31 is 31
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(759, 257) = 195063
GCD(759, 257) = ( 759 x 257 ) / 195063
GCD(759, 257) = 195063 / 195063
GCD(759, 257) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 759, 257, 31, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 257, 31, 132?
GCD of 759, 257, 31, 132 is 1
2. Where do I get the detailed procedure to find GCD of 759, 257, 31, 132?
You can find a detailed procedure to find GCD of 759, 257, 31, 132 on our page.
3. How to find GCD of 759, 257, 31, 132 on a calculator?
You can find the GCD of 759, 257, 31, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.