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 484, 276, 60, 160 i.e. 4 largest integer that divides all the numbers equally.
GCD of 484, 276, 60, 160 is 4
GCD(484, 276, 60, 160) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 276, 60, 160 is 4
GCD(484, 276, 60, 160) = 4
Given Input numbers are 484, 276, 60, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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
Greatest Common Divisior
We found the divisors of 484, 276, 60, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 276, 60, 160 is 4.
Therefore, GCD of numbers 484, 276, 60, 160 is 4
Given Input Data is 484, 276, 60, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(484, 276) = 33396
GCD(484, 276) = ( 484 x 276 ) / 33396
GCD(484, 276) = 133584 / 33396
GCD(484, 276) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 60) = 60
GCD(4, 60) = ( 4 x 60 ) / 60
GCD(4, 60) = 240 / 60
GCD(4, 60) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 160) = 160
GCD(4, 160) = ( 4 x 160 ) / 160
GCD(4, 160) = 640 / 160
GCD(4, 160) = 4
GCD of 484, 276, 60, 160 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 276, 60, 160?
GCD of 484, 276, 60, 160 is 4
2. Where do I get the detailed procedure to find GCD of 484, 276, 60, 160?
You can find a detailed procedure to find GCD of 484, 276, 60, 160 on our page.
3. How to find GCD of 484, 276, 60, 160 on a calculator?
You can find the GCD of 484, 276, 60, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.