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, 986, 59, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 986, 59, 841 is 1
GCD(196, 986, 59, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 986, 59, 841 is 1
GCD(196, 986, 59, 841) = 1
Given Input numbers are 196, 986, 59, 841
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 196, 986, 59, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 986, 59, 841 is 1.
Therefore, GCD of numbers 196, 986, 59, 841 is 1
Given Input Data is 196, 986, 59, 841
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 986 is 2 x 17 x 29
Prime Factorization of 59 is 59
Prime Factorization of 841 is 29 x 29
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, 986) = 96628
GCD(196, 986) = ( 196 x 986 ) / 96628
GCD(196, 986) = 193256 / 96628
GCD(196, 986) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 59) = 118
GCD(2, 59) = ( 2 x 59 ) / 118
GCD(2, 59) = 118 / 118
GCD(2, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 196, 986, 59, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 986, 59, 841?
GCD of 196, 986, 59, 841 is 1
2. Where do I get the detailed procedure to find GCD of 196, 986, 59, 841?
You can find a detailed procedure to find GCD of 196, 986, 59, 841 on our page.
3. How to find GCD of 196, 986, 59, 841 on a calculator?
You can find the GCD of 196, 986, 59, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.