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 298, 702, 97, 207 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 702, 97, 207 is 1
GCD(298, 702, 97, 207) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 702, 97, 207 is 1
GCD(298, 702, 97, 207) = 1
Given Input numbers are 298, 702, 97, 207
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Greatest Common Divisior
We found the divisors of 298, 702, 97, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 702, 97, 207 is 1.
Therefore, GCD of numbers 298, 702, 97, 207 is 1
Given Input Data is 298, 702, 97, 207
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 97 is 97
Prime Factorization of 207 is 3 x 3 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(298, 702) = 104598
GCD(298, 702) = ( 298 x 702 ) / 104598
GCD(298, 702) = 209196 / 104598
GCD(298, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 97) = 194
GCD(2, 97) = ( 2 x 97 ) / 194
GCD(2, 97) = 194 / 194
GCD(2, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
GCD of 298, 702, 97, 207 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 702, 97, 207?
GCD of 298, 702, 97, 207 is 1
2. Where do I get the detailed procedure to find GCD of 298, 702, 97, 207?
You can find a detailed procedure to find GCD of 298, 702, 97, 207 on our page.
3. How to find GCD of 298, 702, 97, 207 on a calculator?
You can find the GCD of 298, 702, 97, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.