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 304, 974, 156, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 974, 156, 777 is 1
GCD(304, 974, 156, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 974, 156, 777 is 1
GCD(304, 974, 156, 777) = 1
Given Input numbers are 304, 974, 156, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 304, 974, 156, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 974, 156, 777 is 1.
Therefore, GCD of numbers 304, 974, 156, 777 is 1
Given Input Data is 304, 974, 156, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 974 is 2 x 487
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 777 is 3 x 7 x 37
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(304, 974) = 148048
GCD(304, 974) = ( 304 x 974 ) / 148048
GCD(304, 974) = 296096 / 148048
GCD(304, 974) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
GCD(2, 156) = 312 / 156
GCD(2, 156) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 777) = 1554
GCD(2, 777) = ( 2 x 777 ) / 1554
GCD(2, 777) = 1554 / 1554
GCD(2, 777) = 1
GCD of 304, 974, 156, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 974, 156, 777?
GCD of 304, 974, 156, 777 is 1
2. Where do I get the detailed procedure to find GCD of 304, 974, 156, 777?
You can find a detailed procedure to find GCD of 304, 974, 156, 777 on our page.
3. How to find GCD of 304, 974, 156, 777 on a calculator?
You can find the GCD of 304, 974, 156, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.