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 277, 656, 61, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 656, 61, 133 is 1
GCD(277, 656, 61, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 656, 61, 133 is 1
GCD(277, 656, 61, 133) = 1
Given Input numbers are 277, 656, 61, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 277, 656, 61, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 656, 61, 133 is 1.
Therefore, GCD of numbers 277, 656, 61, 133 is 1
Given Input Data is 277, 656, 61, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 61 is 61
Prime Factorization of 133 is 7 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(277, 656) = 181712
GCD(277, 656) = ( 277 x 656 ) / 181712
GCD(277, 656) = 181712 / 181712
GCD(277, 656) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 277, 656, 61, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 656, 61, 133?
GCD of 277, 656, 61, 133 is 1
2. Where do I get the detailed procedure to find GCD of 277, 656, 61, 133?
You can find a detailed procedure to find GCD of 277, 656, 61, 133 on our page.
3. How to find GCD of 277, 656, 61, 133 on a calculator?
You can find the GCD of 277, 656, 61, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.