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 196, 780, 306, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 780, 306, 947 is 1
GCD(196, 780, 306, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 780, 306, 947 is 1
GCD(196, 780, 306, 947) = 1
Given Input numbers are 196, 780, 306, 947
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 196, 780, 306, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 780, 306, 947 is 1.
Therefore, GCD of numbers 196, 780, 306, 947 is 1
Given Input Data is 196, 780, 306, 947
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 947 is 947
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(196, 780) = 38220
GCD(196, 780) = ( 196 x 780 ) / 38220
GCD(196, 780) = 152880 / 38220
GCD(196, 780) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 306) = 612
GCD(4, 306) = ( 4 x 306 ) / 612
GCD(4, 306) = 1224 / 612
GCD(4, 306) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 947) = 1894
GCD(2, 947) = ( 2 x 947 ) / 1894
GCD(2, 947) = 1894 / 1894
GCD(2, 947) = 1
GCD of 196, 780, 306, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 780, 306, 947?
GCD of 196, 780, 306, 947 is 1
2. Where do I get the detailed procedure to find GCD of 196, 780, 306, 947?
You can find a detailed procedure to find GCD of 196, 780, 306, 947 on our page.
3. How to find GCD of 196, 780, 306, 947 on a calculator?
You can find the GCD of 196, 780, 306, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.