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 78, 889, 329, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 889, 329, 402 is 1
GCD(78, 889, 329, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 889, 329, 402 is 1
GCD(78, 889, 329, 402) = 1
Given Input numbers are 78, 889, 329, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 78, 889, 329, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 889, 329, 402 is 1.
Therefore, GCD of numbers 78, 889, 329, 402 is 1
Given Input Data is 78, 889, 329, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 889 is 7 x 127
Prime Factorization of 329 is 7 x 47
Prime Factorization of 402 is 2 x 3 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(78, 889) = 69342
GCD(78, 889) = ( 78 x 889 ) / 69342
GCD(78, 889) = 69342 / 69342
GCD(78, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 78, 889, 329, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 889, 329, 402?
GCD of 78, 889, 329, 402 is 1
2. Where do I get the detailed procedure to find GCD of 78, 889, 329, 402?
You can find a detailed procedure to find GCD of 78, 889, 329, 402 on our page.
3. How to find GCD of 78, 889, 329, 402 on a calculator?
You can find the GCD of 78, 889, 329, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.