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, 656, 263, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 656, 263, 946 is 1
GCD(196, 656, 263, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 656, 263, 946 is 1
GCD(196, 656, 263, 946) = 1
Given Input numbers are 196, 656, 263, 946
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 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 196, 656, 263, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 656, 263, 946 is 1.
Therefore, GCD of numbers 196, 656, 263, 946 is 1
Given Input Data is 196, 656, 263, 946
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 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 263 is 263
Prime Factorization of 946 is 2 x 11 x 43
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, 656) = 32144
GCD(196, 656) = ( 196 x 656 ) / 32144
GCD(196, 656) = 128576 / 32144
GCD(196, 656) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 263) = 1052
GCD(4, 263) = ( 4 x 263 ) / 1052
GCD(4, 263) = 1052 / 1052
GCD(4, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 196, 656, 263, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 656, 263, 946?
GCD of 196, 656, 263, 946 is 1
2. Where do I get the detailed procedure to find GCD of 196, 656, 263, 946?
You can find a detailed procedure to find GCD of 196, 656, 263, 946 on our page.
3. How to find GCD of 196, 656, 263, 946 on a calculator?
You can find the GCD of 196, 656, 263, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.