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 653, 675, 76 i.e. 1 largest integer that divides all the numbers equally.
GCD of 653, 675, 76 is 1
GCD(653, 675, 76) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 653, 675, 76 is 1
GCD(653, 675, 76) = 1
Given Input numbers are 653, 675, 76
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Greatest Common Divisior
We found the divisors of 653, 675, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 675, 76 is 1.
Therefore, GCD of numbers 653, 675, 76 is 1
Given Input Data is 653, 675, 76
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 653 is 653
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 76 is 2 x 2 x 19
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(653, 675) = 440775
GCD(653, 675) = ( 653 x 675 ) / 440775
GCD(653, 675) = 440775 / 440775
GCD(653, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
GCD of 653, 675, 76 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 653, 675, 76?
GCD of 653, 675, 76 is 1
2. Where do I get the detailed procedure to find GCD of 653, 675, 76?
You can find a detailed procedure to find GCD of 653, 675, 76 on our page.
3. How to find GCD of 653, 675, 76 on a calculator?
You can find the GCD of 653, 675, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.