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 400, 756, 40, 948 i.e. 4 largest integer that divides all the numbers equally.
GCD of 400, 756, 40, 948 is 4
GCD(400, 756, 40, 948) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 756, 40, 948 is 4
GCD(400, 756, 40, 948) = 4
Given Input numbers are 400, 756, 40, 948
To find the GCD of numbers using factoring list out all the divisors of each number
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 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 400, 756, 40, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 756, 40, 948 is 4.
Therefore, GCD of numbers 400, 756, 40, 948 is 4
Given Input Data is 400, 756, 40, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 948 is 2 x 2 x 3 x 79
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(400, 756) = 75600
GCD(400, 756) = ( 400 x 756 ) / 75600
GCD(400, 756) = 302400 / 75600
GCD(400, 756) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 948) = 948
GCD(4, 948) = ( 4 x 948 ) / 948
GCD(4, 948) = 3792 / 948
GCD(4, 948) = 4
GCD of 400, 756, 40, 948 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 756, 40, 948?
GCD of 400, 756, 40, 948 is 4
2. Where do I get the detailed procedure to find GCD of 400, 756, 40, 948?
You can find a detailed procedure to find GCD of 400, 756, 40, 948 on our page.
3. How to find GCD of 400, 756, 40, 948 on a calculator?
You can find the GCD of 400, 756, 40, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.