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 278, 668, 87, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 668, 87, 268 is 1
GCD(278, 668, 87, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 668, 87, 268 is 1
GCD(278, 668, 87, 268) = 1
Given Input numbers are 278, 668, 87, 268
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 278, 668, 87, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 668, 87, 268 is 1.
Therefore, GCD of numbers 278, 668, 87, 268 is 1
Given Input Data is 278, 668, 87, 268
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 87 is 3 x 29
Prime Factorization of 268 is 2 x 2 x 67
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(278, 668) = 92852
GCD(278, 668) = ( 278 x 668 ) / 92852
GCD(278, 668) = 185704 / 92852
GCD(278, 668) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
GCD of 278, 668, 87, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 668, 87, 268?
GCD of 278, 668, 87, 268 is 1
2. Where do I get the detailed procedure to find GCD of 278, 668, 87, 268?
You can find a detailed procedure to find GCD of 278, 668, 87, 268 on our page.
3. How to find GCD of 278, 668, 87, 268 on a calculator?
You can find the GCD of 278, 668, 87, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.