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 67, 554, 302, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 554, 302, 137 is 1
GCD(67, 554, 302, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 554, 302, 137 is 1
GCD(67, 554, 302, 137) = 1
Given Input numbers are 67, 554, 302, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
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 67, 554, 302, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 554, 302, 137 is 1.
Therefore, GCD of numbers 67, 554, 302, 137 is 1
Given Input Data is 67, 554, 302, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 554 is 2 x 277
Prime Factorization of 302 is 2 x 151
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(67, 554) = 37118
GCD(67, 554) = ( 67 x 554 ) / 37118
GCD(67, 554) = 37118 / 37118
GCD(67, 554) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 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 67, 554, 302, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 554, 302, 137?
GCD of 67, 554, 302, 137 is 1
2. Where do I get the detailed procedure to find GCD of 67, 554, 302, 137?
You can find a detailed procedure to find GCD of 67, 554, 302, 137 on our page.
3. How to find GCD of 67, 554, 302, 137 on a calculator?
You can find the GCD of 67, 554, 302, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.