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 302, 988, 77, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 988, 77, 835 is 1
GCD(302, 988, 77, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 988, 77, 835 is 1
GCD(302, 988, 77, 835) = 1
Given Input numbers are 302, 988, 77, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 302, 988, 77, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 988, 77, 835 is 1.
Therefore, GCD of numbers 302, 988, 77, 835 is 1
Given Input Data is 302, 988, 77, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 77 is 7 x 11
Prime Factorization of 835 is 5 x 167
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(302, 988) = 149188
GCD(302, 988) = ( 302 x 988 ) / 149188
GCD(302, 988) = 298376 / 149188
GCD(302, 988) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 302, 988, 77, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 988, 77, 835?
GCD of 302, 988, 77, 835 is 1
2. Where do I get the detailed procedure to find GCD of 302, 988, 77, 835?
You can find a detailed procedure to find GCD of 302, 988, 77, 835 on our page.
3. How to find GCD of 302, 988, 77, 835 on a calculator?
You can find the GCD of 302, 988, 77, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.