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 966, 642, 76, 472 i.e. 2 largest integer that divides all the numbers equally.
GCD of 966, 642, 76, 472 is 2
GCD(966, 642, 76, 472) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 642, 76, 472 is 2
GCD(966, 642, 76, 472) = 2
Given Input numbers are 966, 642, 76, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 966, 642, 76, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 642, 76, 472 is 2.
Therefore, GCD of numbers 966, 642, 76, 472 is 2
Given Input Data is 966, 642, 76, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(966, 642) = 103362
GCD(966, 642) = ( 966 x 642 ) / 103362
GCD(966, 642) = 620172 / 103362
GCD(966, 642) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 76) = 228
GCD(6, 76) = ( 6 x 76 ) / 228
GCD(6, 76) = 456 / 228
GCD(6, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
GCD(2, 472) = 944 / 472
GCD(2, 472) = 2
GCD of 966, 642, 76, 472 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 642, 76, 472?
GCD of 966, 642, 76, 472 is 2
2. Where do I get the detailed procedure to find GCD of 966, 642, 76, 472?
You can find a detailed procedure to find GCD of 966, 642, 76, 472 on our page.
3. How to find GCD of 966, 642, 76, 472 on a calculator?
You can find the GCD of 966, 642, 76, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.