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 294, 668, 77, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 668, 77, 137 is 1
GCD(294, 668, 77, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 668, 77, 137 is 1
GCD(294, 668, 77, 137) = 1
Given Input numbers are 294, 668, 77, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
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 294, 668, 77, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 668, 77, 137 is 1.
Therefore, GCD of numbers 294, 668, 77, 137 is 1
Given Input Data is 294, 668, 77, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 77 is 7 x 11
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(294, 668) = 98196
GCD(294, 668) = ( 294 x 668 ) / 98196
GCD(294, 668) = 196392 / 98196
GCD(294, 668) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 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 294, 668, 77, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 668, 77, 137?
GCD of 294, 668, 77, 137 is 1
2. Where do I get the detailed procedure to find GCD of 294, 668, 77, 137?
You can find a detailed procedure to find GCD of 294, 668, 77, 137 on our page.
3. How to find GCD of 294, 668, 77, 137 on a calculator?
You can find the GCD of 294, 668, 77, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.