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 160, 556, 916, 402 i.e. 2 largest integer that divides all the numbers equally.
GCD of 160, 556, 916, 402 is 2
GCD(160, 556, 916, 402) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 556, 916, 402 is 2
GCD(160, 556, 916, 402) = 2
Given Input numbers are 160, 556, 916, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 160, 556, 916, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 556, 916, 402 is 2.
Therefore, GCD of numbers 160, 556, 916, 402 is 2
Given Input Data is 160, 556, 916, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 402 is 2 x 3 x 67
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(160, 556) = 22240
GCD(160, 556) = ( 160 x 556 ) / 22240
GCD(160, 556) = 88960 / 22240
GCD(160, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 916) = 916
GCD(4, 916) = ( 4 x 916 ) / 916
GCD(4, 916) = 3664 / 916
GCD(4, 916) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 402) = 804
GCD(4, 402) = ( 4 x 402 ) / 804
GCD(4, 402) = 1608 / 804
GCD(4, 402) = 2
GCD of 160, 556, 916, 402 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 556, 916, 402?
GCD of 160, 556, 916, 402 is 2
2. Where do I get the detailed procedure to find GCD of 160, 556, 916, 402?
You can find a detailed procedure to find GCD of 160, 556, 916, 402 on our page.
3. How to find GCD of 160, 556, 916, 402 on a calculator?
You can find the GCD of 160, 556, 916, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.