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, 420, 79, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 420, 79, 787 is 1
GCD(196, 420, 79, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 420, 79, 787 is 1
GCD(196, 420, 79, 787) = 1
Given Input numbers are 196, 420, 79, 787
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 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 196, 420, 79, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 420, 79, 787 is 1.
Therefore, GCD of numbers 196, 420, 79, 787 is 1
Given Input Data is 196, 420, 79, 787
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 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 79 is 79
Prime Factorization of 787 is 787
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, 420) = 2940
GCD(196, 420) = ( 196 x 420 ) / 2940
GCD(196, 420) = 82320 / 2940
GCD(196, 420) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 79) = 2212
GCD(28, 79) = ( 28 x 79 ) / 2212
GCD(28, 79) = 2212 / 2212
GCD(28, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 196, 420, 79, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 420, 79, 787?
GCD of 196, 420, 79, 787 is 1
2. Where do I get the detailed procedure to find GCD of 196, 420, 79, 787?
You can find a detailed procedure to find GCD of 196, 420, 79, 787 on our page.
3. How to find GCD of 196, 420, 79, 787 on a calculator?
You can find the GCD of 196, 420, 79, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.