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 118, 490, 400, 984 i.e. 2 largest integer that divides all the numbers equally.
GCD of 118, 490, 400, 984 is 2
GCD(118, 490, 400, 984) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 490, 400, 984 is 2
GCD(118, 490, 400, 984) = 2
Given Input numbers are 118, 490, 400, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
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 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 118, 490, 400, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 490, 400, 984 is 2.
Therefore, GCD of numbers 118, 490, 400, 984 is 2
Given Input Data is 118, 490, 400, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 984 is 2 x 2 x 2 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(118, 490) = 28910
GCD(118, 490) = ( 118 x 490 ) / 28910
GCD(118, 490) = 57820 / 28910
GCD(118, 490) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
GCD(2, 400) = 800 / 400
GCD(2, 400) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
GCD(2, 984) = 1968 / 984
GCD(2, 984) = 2
GCD of 118, 490, 400, 984 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 490, 400, 984?
GCD of 118, 490, 400, 984 is 2
2. Where do I get the detailed procedure to find GCD of 118, 490, 400, 984?
You can find a detailed procedure to find GCD of 118, 490, 400, 984 on our page.
3. How to find GCD of 118, 490, 400, 984 on a calculator?
You can find the GCD of 118, 490, 400, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.