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, 873, 160, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 873, 160, 267 is 1
GCD(274, 873, 160, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 873, 160, 267 is 1
GCD(274, 873, 160, 267) = 1
Given Input numbers are 274, 873, 160, 267
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 274, 873, 160, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 873, 160, 267 is 1.
Therefore, GCD of numbers 274, 873, 160, 267 is 1
Given Input Data is 274, 873, 160, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 267 is 3 x 89
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, 873) = 239202
GCD(274, 873) = ( 274 x 873 ) / 239202
GCD(274, 873) = 239202 / 239202
GCD(274, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 274, 873, 160, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 873, 160, 267?
GCD of 274, 873, 160, 267 is 1
2. Where do I get the detailed procedure to find GCD of 274, 873, 160, 267?
You can find a detailed procedure to find GCD of 274, 873, 160, 267 on our page.
3. How to find GCD of 274, 873, 160, 267 on a calculator?
You can find the GCD of 274, 873, 160, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.