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 865, 298, 688, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 298, 688, 279 is 1
GCD(865, 298, 688, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 298, 688, 279 is 1
GCD(865, 298, 688, 279) = 1
Given Input numbers are 865, 298, 688, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 865, 298, 688, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 298, 688, 279 is 1.
Therefore, GCD of numbers 865, 298, 688, 279 is 1
Given Input Data is 865, 298, 688, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 298 is 2 x 149
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 279 is 3 x 3 x 31
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(865, 298) = 257770
GCD(865, 298) = ( 865 x 298 ) / 257770
GCD(865, 298) = 257770 / 257770
GCD(865, 298) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 865, 298, 688, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 298, 688, 279?
GCD of 865, 298, 688, 279 is 1
2. Where do I get the detailed procedure to find GCD of 865, 298, 688, 279?
You can find a detailed procedure to find GCD of 865, 298, 688, 279 on our page.
3. How to find GCD of 865, 298, 688, 279 on a calculator?
You can find the GCD of 865, 298, 688, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.