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 61, 208, 657, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 208, 657, 797 is 1
GCD(61, 208, 657, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 208, 657, 797 is 1
GCD(61, 208, 657, 797) = 1
Given Input numbers are 61, 208, 657, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 61, 208, 657, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 208, 657, 797 is 1.
Therefore, GCD of numbers 61, 208, 657, 797 is 1
Given Input Data is 61, 208, 657, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 797 is 797
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(61, 208) = 12688
GCD(61, 208) = ( 61 x 208 ) / 12688
GCD(61, 208) = 12688 / 12688
GCD(61, 208) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 61, 208, 657, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 208, 657, 797?
GCD of 61, 208, 657, 797 is 1
2. Where do I get the detailed procedure to find GCD of 61, 208, 657, 797?
You can find a detailed procedure to find GCD of 61, 208, 657, 797 on our page.
3. How to find GCD of 61, 208, 657, 797 on a calculator?
You can find the GCD of 61, 208, 657, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.