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 976, 554, 400, 180 i.e. 2 largest integer that divides all the numbers equally.
GCD of 976, 554, 400, 180 is 2
GCD(976, 554, 400, 180) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 554, 400, 180 is 2
GCD(976, 554, 400, 180) = 2
Given Input numbers are 976, 554, 400, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
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 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 976, 554, 400, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 554, 400, 180 is 2.
Therefore, GCD of numbers 976, 554, 400, 180 is 2
Given Input Data is 976, 554, 400, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 554 is 2 x 277
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(976, 554) = 270352
GCD(976, 554) = ( 976 x 554 ) / 270352
GCD(976, 554) = 540704 / 270352
GCD(976, 554) = 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 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
GCD of 976, 554, 400, 180 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 554, 400, 180?
GCD of 976, 554, 400, 180 is 2
2. Where do I get the detailed procedure to find GCD of 976, 554, 400, 180?
You can find a detailed procedure to find GCD of 976, 554, 400, 180 on our page.
3. How to find GCD of 976, 554, 400, 180 on a calculator?
You can find the GCD of 976, 554, 400, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.