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 490, 738, 988, 524 i.e. 2 largest integer that divides all the numbers equally.
GCD of 490, 738, 988, 524 is 2
GCD(490, 738, 988, 524) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 738, 988, 524 is 2
GCD(490, 738, 988, 524) = 2
Given Input numbers are 490, 738, 988, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Greatest Common Divisior
We found the divisors of 490, 738, 988, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 738, 988, 524 is 2.
Therefore, GCD of numbers 490, 738, 988, 524 is 2
Given Input Data is 490, 738, 988, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 524 is 2 x 2 x 131
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(490, 738) = 180810
GCD(490, 738) = ( 490 x 738 ) / 180810
GCD(490, 738) = 361620 / 180810
GCD(490, 738) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
GCD(2, 988) = 1976 / 988
GCD(2, 988) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 524) = 524
GCD(2, 524) = ( 2 x 524 ) / 524
GCD(2, 524) = 1048 / 524
GCD(2, 524) = 2
GCD of 490, 738, 988, 524 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 738, 988, 524?
GCD of 490, 738, 988, 524 is 2
2. Where do I get the detailed procedure to find GCD of 490, 738, 988, 524?
You can find a detailed procedure to find GCD of 490, 738, 988, 524 on our page.
3. How to find GCD of 490, 738, 988, 524 on a calculator?
You can find the GCD of 490, 738, 988, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.