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, 276, 53, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 276, 53, 132 is 1
GCD(777, 276, 53, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 276, 53, 132 is 1
GCD(777, 276, 53, 132) = 1
Given Input numbers are 777, 276, 53, 132
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 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
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 777, 276, 53, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 276, 53, 132 is 1.
Therefore, GCD of numbers 777, 276, 53, 132 is 1
Given Input Data is 777, 276, 53, 132
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 276 is 2 x 2 x 3 x 23
Prime Factorization of 53 is 53
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(777, 276) = 71484
GCD(777, 276) = ( 777 x 276 ) / 71484
GCD(777, 276) = 214452 / 71484
GCD(777, 276) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 53) = 159
GCD(3, 53) = ( 3 x 53 ) / 159
GCD(3, 53) = 159 / 159
GCD(3, 53) = 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 777, 276, 53, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 276, 53, 132?
GCD of 777, 276, 53, 132 is 1
2. Where do I get the detailed procedure to find GCD of 777, 276, 53, 132?
You can find a detailed procedure to find GCD of 777, 276, 53, 132 on our page.
3. How to find GCD of 777, 276, 53, 132 on a calculator?
You can find the GCD of 777, 276, 53, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.