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 777, 653, 188, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 653, 188, 172 is 1
GCD(777, 653, 188, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 653, 188, 172 is 1
GCD(777, 653, 188, 172) = 1
Given Input numbers are 777, 653, 188, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 777, 653, 188, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 653, 188, 172 is 1.
Therefore, GCD of numbers 777, 653, 188, 172 is 1
Given Input Data is 777, 653, 188, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 653 is 653
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 172 is 2 x 2 x 43
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(777, 653) = 507381
GCD(777, 653) = ( 777 x 653 ) / 507381
GCD(777, 653) = 507381 / 507381
GCD(777, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 777, 653, 188, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 653, 188, 172?
GCD of 777, 653, 188, 172 is 1
2. Where do I get the detailed procedure to find GCD of 777, 653, 188, 172?
You can find a detailed procedure to find GCD of 777, 653, 188, 172 on our page.
3. How to find GCD of 777, 653, 188, 172 on a calculator?
You can find the GCD of 777, 653, 188, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.