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 87, 398, 568, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 398, 568, 694 is 1
GCD(87, 398, 568, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 398, 568, 694 is 1
GCD(87, 398, 568, 694) = 1
Given Input numbers are 87, 398, 568, 694
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 87, 398, 568, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 398, 568, 694 is 1.
Therefore, GCD of numbers 87, 398, 568, 694 is 1
Given Input Data is 87, 398, 568, 694
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 398 is 2 x 199
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 694 is 2 x 347
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(87, 398) = 34626
GCD(87, 398) = ( 87 x 398 ) / 34626
GCD(87, 398) = 34626 / 34626
GCD(87, 398) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
GCD of 87, 398, 568, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 398, 568, 694?
GCD of 87, 398, 568, 694 is 1
2. Where do I get the detailed procedure to find GCD of 87, 398, 568, 694?
You can find a detailed procedure to find GCD of 87, 398, 568, 694 on our page.
3. How to find GCD of 87, 398, 568, 694 on a calculator?
You can find the GCD of 87, 398, 568, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.