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, 467, 68, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 467, 68, 132 is 1
GCD(278, 467, 68, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 467, 68, 132 is 1
GCD(278, 467, 68, 132) = 1
Given Input numbers are 278, 467, 68, 132
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 278, 467, 68, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 467, 68, 132 is 1.
Therefore, GCD of numbers 278, 467, 68, 132 is 1
Given Input Data is 278, 467, 68, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 467 is 467
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 132 is 2 x 2 x 3 x 11
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, 467) = 129826
GCD(278, 467) = ( 278 x 467 ) / 129826
GCD(278, 467) = 129826 / 129826
GCD(278, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 278, 467, 68, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 467, 68, 132?
GCD of 278, 467, 68, 132 is 1
2. Where do I get the detailed procedure to find GCD of 278, 467, 68, 132?
You can find a detailed procedure to find GCD of 278, 467, 68, 132 on our page.
3. How to find GCD of 278, 467, 68, 132 on a calculator?
You can find the GCD of 278, 467, 68, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.