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 20, 298, 892, 738 i.e. 2 largest integer that divides all the numbers equally.
GCD of 20, 298, 892, 738 is 2
GCD(20, 298, 892, 738) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 298, 892, 738 is 2
GCD(20, 298, 892, 738) = 2
Given Input numbers are 20, 298, 892, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 20, 298, 892, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 298, 892, 738 is 2.
Therefore, GCD of numbers 20, 298, 892, 738 is 2
Given Input Data is 20, 298, 892, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 298 is 2 x 149
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 738 is 2 x 3 x 3 x 41
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(20, 298) = 2980
GCD(20, 298) = ( 20 x 298 ) / 2980
GCD(20, 298) = 5960 / 2980
GCD(20, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
GCD(2, 892) = 1784 / 892
GCD(2, 892) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
GCD(2, 738) = 1476 / 738
GCD(2, 738) = 2
GCD of 20, 298, 892, 738 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 298, 892, 738?
GCD of 20, 298, 892, 738 is 2
2. Where do I get the detailed procedure to find GCD of 20, 298, 892, 738?
You can find a detailed procedure to find GCD of 20, 298, 892, 738 on our page.
3. How to find GCD of 20, 298, 892, 738 on a calculator?
You can find the GCD of 20, 298, 892, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.