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, 692, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 692, 179 is 1
GCD(278, 692, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 692, 179 is 1
GCD(278, 692, 179) = 1
Given Input numbers are 278, 692, 179
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 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 278, 692, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 692, 179 is 1.
Therefore, GCD of numbers 278, 692, 179 is 1
Given Input Data is 278, 692, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 179 is 179
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, 692) = 96188
GCD(278, 692) = ( 278 x 692 ) / 96188
GCD(278, 692) = 192376 / 96188
GCD(278, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 179) = 358
GCD(2, 179) = ( 2 x 179 ) / 358
GCD(2, 179) = 358 / 358
GCD(2, 179) = 1
GCD of 278, 692, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 692, 179?
GCD of 278, 692, 179 is 1
2. Where do I get the detailed procedure to find GCD of 278, 692, 179?
You can find a detailed procedure to find GCD of 278, 692, 179 on our page.
3. How to find GCD of 278, 692, 179 on a calculator?
You can find the GCD of 278, 692, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.