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 56, 274, 277, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 274, 277, 955 is 1
GCD(56, 274, 277, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 274, 277, 955 is 1
GCD(56, 274, 277, 955) = 1
Given Input numbers are 56, 274, 277, 955
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 56, 274, 277, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 274, 277, 955 is 1.
Therefore, GCD of numbers 56, 274, 277, 955 is 1
Given Input Data is 56, 274, 277, 955
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 274 is 2 x 137
Prime Factorization of 277 is 277
Prime Factorization of 955 is 5 x 191
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(56, 274) = 7672
GCD(56, 274) = ( 56 x 274 ) / 7672
GCD(56, 274) = 15344 / 7672
GCD(56, 274) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 277) = 554
GCD(2, 277) = ( 2 x 277 ) / 554
GCD(2, 277) = 554 / 554
GCD(2, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
GCD of 56, 274, 277, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 274, 277, 955?
GCD of 56, 274, 277, 955 is 1
2. Where do I get the detailed procedure to find GCD of 56, 274, 277, 955?
You can find a detailed procedure to find GCD of 56, 274, 277, 955 on our page.
3. How to find GCD of 56, 274, 277, 955 on a calculator?
You can find the GCD of 56, 274, 277, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.