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 398, 692, 560, 288 i.e. 2 largest integer that divides all the numbers equally.
GCD of 398, 692, 560, 288 is 2
GCD(398, 692, 560, 288) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 692, 560, 288 is 2
GCD(398, 692, 560, 288) = 2
Given Input numbers are 398, 692, 560, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 398, 692, 560, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 692, 560, 288 is 2.
Therefore, GCD of numbers 398, 692, 560, 288 is 2
Given Input Data is 398, 692, 560, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(398, 692) = 137708
GCD(398, 692) = ( 398 x 692 ) / 137708
GCD(398, 692) = 275416 / 137708
GCD(398, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 560) = 560
GCD(2, 560) = ( 2 x 560 ) / 560
GCD(2, 560) = 1120 / 560
GCD(2, 560) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
GCD(2, 288) = 576 / 288
GCD(2, 288) = 2
GCD of 398, 692, 560, 288 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 692, 560, 288?
GCD of 398, 692, 560, 288 is 2
2. Where do I get the detailed procedure to find GCD of 398, 692, 560, 288?
You can find a detailed procedure to find GCD of 398, 692, 560, 288 on our page.
3. How to find GCD of 398, 692, 560, 288 on a calculator?
You can find the GCD of 398, 692, 560, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.