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 964, 168, 29, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 964, 168, 29, 272 is 1
GCD(964, 168, 29, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 168, 29, 272 is 1
GCD(964, 168, 29, 272) = 1
Given Input numbers are 964, 168, 29, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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
Greatest Common Divisior
We found the divisors of 964, 168, 29, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 168, 29, 272 is 1.
Therefore, GCD of numbers 964, 168, 29, 272 is 1
Given Input Data is 964, 168, 29, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 29 is 29
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(964, 168) = 40488
GCD(964, 168) = ( 964 x 168 ) / 40488
GCD(964, 168) = 161952 / 40488
GCD(964, 168) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 29) = 116
GCD(4, 29) = ( 4 x 29 ) / 116
GCD(4, 29) = 116 / 116
GCD(4, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 964, 168, 29, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 168, 29, 272?
GCD of 964, 168, 29, 272 is 1
2. Where do I get the detailed procedure to find GCD of 964, 168, 29, 272?
You can find a detailed procedure to find GCD of 964, 168, 29, 272 on our page.
3. How to find GCD of 964, 168, 29, 272 on a calculator?
You can find the GCD of 964, 168, 29, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.