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 202, 982, 704, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 982, 704, 897 is 1
GCD(202, 982, 704, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 982, 704, 897 is 1
GCD(202, 982, 704, 897) = 1
Given Input numbers are 202, 982, 704, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 202, 982, 704, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 982, 704, 897 is 1.
Therefore, GCD of numbers 202, 982, 704, 897 is 1
Given Input Data is 202, 982, 704, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 982 is 2 x 491
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 897 is 3 x 13 x 23
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(202, 982) = 99182
GCD(202, 982) = ( 202 x 982 ) / 99182
GCD(202, 982) = 198364 / 99182
GCD(202, 982) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
GCD(2, 704) = 1408 / 704
GCD(2, 704) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
GCD(2, 897) = 1794 / 1794
GCD(2, 897) = 1
GCD of 202, 982, 704, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 982, 704, 897?
GCD of 202, 982, 704, 897 is 1
2. Where do I get the detailed procedure to find GCD of 202, 982, 704, 897?
You can find a detailed procedure to find GCD of 202, 982, 704, 897 on our page.
3. How to find GCD of 202, 982, 704, 897 on a calculator?
You can find the GCD of 202, 982, 704, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.