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 48, 882, 964, 276 i.e. 2 largest integer that divides all the numbers equally.
GCD of 48, 882, 964, 276 is 2
GCD(48, 882, 964, 276) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 882, 964, 276 is 2
GCD(48, 882, 964, 276) = 2
Given Input numbers are 48, 882, 964, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
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
Greatest Common Divisior
We found the divisors of 48, 882, 964, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 882, 964, 276 is 2.
Therefore, GCD of numbers 48, 882, 964, 276 is 2
Given Input Data is 48, 882, 964, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 276 is 2 x 2 x 3 x 23
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(48, 882) = 7056
GCD(48, 882) = ( 48 x 882 ) / 7056
GCD(48, 882) = 42336 / 7056
GCD(48, 882) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 964) = 2892
GCD(6, 964) = ( 6 x 964 ) / 2892
GCD(6, 964) = 5784 / 2892
GCD(6, 964) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 276) = 276
GCD(2, 276) = ( 2 x 276 ) / 276
GCD(2, 276) = 552 / 276
GCD(2, 276) = 2
GCD of 48, 882, 964, 276 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 882, 964, 276?
GCD of 48, 882, 964, 276 is 2
2. Where do I get the detailed procedure to find GCD of 48, 882, 964, 276?
You can find a detailed procedure to find GCD of 48, 882, 964, 276 on our page.
3. How to find GCD of 48, 882, 964, 276 on a calculator?
You can find the GCD of 48, 882, 964, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.