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, 902, 647, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 902, 647, 491 is 1
GCD(78, 902, 647, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 902, 647, 491 is 1
GCD(78, 902, 647, 491) = 1
Given Input numbers are 78, 902, 647, 491
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 78, 902, 647, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 902, 647, 491 is 1.
Therefore, GCD of numbers 78, 902, 647, 491 is 1
Given Input Data is 78, 902, 647, 491
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 902 is 2 x 11 x 41
Prime Factorization of 647 is 647
Prime Factorization of 491 is 491
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, 902) = 35178
GCD(78, 902) = ( 78 x 902 ) / 35178
GCD(78, 902) = 70356 / 35178
GCD(78, 902) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 647) = 1294
GCD(2, 647) = ( 2 x 647 ) / 1294
GCD(2, 647) = 1294 / 1294
GCD(2, 647) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 78, 902, 647, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 902, 647, 491?
GCD of 78, 902, 647, 491 is 1
2. Where do I get the detailed procedure to find GCD of 78, 902, 647, 491?
You can find a detailed procedure to find GCD of 78, 902, 647, 491 on our page.
3. How to find GCD of 78, 902, 647, 491 on a calculator?
You can find the GCD of 78, 902, 647, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.