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 94, 272, 860, 252 i.e. 2 largest integer that divides all the numbers equally.
GCD of 94, 272, 860, 252 is 2
GCD(94, 272, 860, 252) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 94, 272, 860, 252 is 2
GCD(94, 272, 860, 252) = 2
Given Input numbers are 94, 272, 860, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 94, 272, 860, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 272, 860, 252 is 2.
Therefore, GCD of numbers 94, 272, 860, 252 is 2
Given Input Data is 94, 272, 860, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 94 is 2 x 47
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(94, 272) = 12784
GCD(94, 272) = ( 94 x 272 ) / 12784
GCD(94, 272) = 25568 / 12784
GCD(94, 272) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 860) = 860
GCD(2, 860) = ( 2 x 860 ) / 860
GCD(2, 860) = 1720 / 860
GCD(2, 860) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
GCD(2, 252) = 504 / 252
GCD(2, 252) = 2
GCD of 94, 272, 860, 252 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 94, 272, 860, 252?
GCD of 94, 272, 860, 252 is 2
2. Where do I get the detailed procedure to find GCD of 94, 272, 860, 252?
You can find a detailed procedure to find GCD of 94, 272, 860, 252 on our page.
3. How to find GCD of 94, 272, 860, 252 on a calculator?
You can find the GCD of 94, 272, 860, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.