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 274, 150, 931, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 150, 931, 827 is 1
GCD(274, 150, 931, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 150, 931, 827 is 1
GCD(274, 150, 931, 827) = 1
Given Input numbers are 274, 150, 931, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 274, 150, 931, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 150, 931, 827 is 1.
Therefore, GCD of numbers 274, 150, 931, 827 is 1
Given Input Data is 274, 150, 931, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 827 is 827
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(274, 150) = 20550
GCD(274, 150) = ( 274 x 150 ) / 20550
GCD(274, 150) = 41100 / 20550
GCD(274, 150) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 931) = 1862
GCD(2, 931) = ( 2 x 931 ) / 1862
GCD(2, 931) = 1862 / 1862
GCD(2, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 274, 150, 931, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 150, 931, 827?
GCD of 274, 150, 931, 827 is 1
2. Where do I get the detailed procedure to find GCD of 274, 150, 931, 827?
You can find a detailed procedure to find GCD of 274, 150, 931, 827 on our page.
3. How to find GCD of 274, 150, 931, 827 on a calculator?
You can find the GCD of 274, 150, 931, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.