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 766, 547, 72, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 547, 72, 130 is 1
GCD(766, 547, 72, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 547, 72, 130 is 1
GCD(766, 547, 72, 130) = 1
Given Input numbers are 766, 547, 72, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 766, 547, 72, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 547, 72, 130 is 1.
Therefore, GCD of numbers 766, 547, 72, 130 is 1
Given Input Data is 766, 547, 72, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 547 is 547
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 130 is 2 x 5 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(766, 547) = 419002
GCD(766, 547) = ( 766 x 547 ) / 419002
GCD(766, 547) = 419002 / 419002
GCD(766, 547) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 766, 547, 72, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 547, 72, 130?
GCD of 766, 547, 72, 130 is 1
2. Where do I get the detailed procedure to find GCD of 766, 547, 72, 130?
You can find a detailed procedure to find GCD of 766, 547, 72, 130 on our page.
3. How to find GCD of 766, 547, 72, 130 on a calculator?
You can find the GCD of 766, 547, 72, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.