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 65, 742, 222, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 742, 222, 298 is 1
GCD(65, 742, 222, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 742, 222, 298 is 1
GCD(65, 742, 222, 298) = 1
Given Input numbers are 65, 742, 222, 298
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 65, 742, 222, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 742, 222, 298 is 1.
Therefore, GCD of numbers 65, 742, 222, 298 is 1
Given Input Data is 65, 742, 222, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 298 is 2 x 149
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(65, 742) = 48230
GCD(65, 742) = ( 65 x 742 ) / 48230
GCD(65, 742) = 48230 / 48230
GCD(65, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 65, 742, 222, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 742, 222, 298?
GCD of 65, 742, 222, 298 is 1
2. Where do I get the detailed procedure to find GCD of 65, 742, 222, 298?
You can find a detailed procedure to find GCD of 65, 742, 222, 298 on our page.
3. How to find GCD of 65, 742, 222, 298 on a calculator?
You can find the GCD of 65, 742, 222, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.