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, 742, 96, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 742, 96, 137 is 1
GCD(267, 742, 96, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 742, 96, 137 is 1
GCD(267, 742, 96, 137) = 1
Given Input numbers are 267, 742, 96, 137
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 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 267, 742, 96, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 742, 96, 137 is 1.
Therefore, GCD of numbers 267, 742, 96, 137 is 1
Given Input Data is 267, 742, 96, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 137 is 137
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, 742) = 198114
GCD(267, 742) = ( 267 x 742 ) / 198114
GCD(267, 742) = 198114 / 198114
GCD(267, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 267, 742, 96, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 742, 96, 137?
GCD of 267, 742, 96, 137 is 1
2. Where do I get the detailed procedure to find GCD of 267, 742, 96, 137?
You can find a detailed procedure to find GCD of 267, 742, 96, 137 on our page.
3. How to find GCD of 267, 742, 96, 137 on a calculator?
You can find the GCD of 267, 742, 96, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.