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 267, 846, 187, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 846, 187, 177 is 1
GCD(267, 846, 187, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 846, 187, 177 is 1
GCD(267, 846, 187, 177) = 1
Given Input numbers are 267, 846, 187, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 267, 846, 187, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 846, 187, 177 is 1.
Therefore, GCD of numbers 267, 846, 187, 177 is 1
Given Input Data is 267, 846, 187, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 187 is 11 x 17
Prime Factorization of 177 is 3 x 59
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(267, 846) = 75294
GCD(267, 846) = ( 267 x 846 ) / 75294
GCD(267, 846) = 225882 / 75294
GCD(267, 846) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 187) = 561
GCD(3, 187) = ( 3 x 187 ) / 561
GCD(3, 187) = 561 / 561
GCD(3, 187) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 267, 846, 187, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 846, 187, 177?
GCD of 267, 846, 187, 177 is 1
2. Where do I get the detailed procedure to find GCD of 267, 846, 187, 177?
You can find a detailed procedure to find GCD of 267, 846, 187, 177 on our page.
3. How to find GCD of 267, 846, 187, 177 on a calculator?
You can find the GCD of 267, 846, 187, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.