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 28, 974, 351, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 974, 351, 295 is 1
GCD(28, 974, 351, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 974, 351, 295 is 1
GCD(28, 974, 351, 295) = 1
Given Input numbers are 28, 974, 351, 295
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 28, 974, 351, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 974, 351, 295 is 1.
Therefore, GCD of numbers 28, 974, 351, 295 is 1
Given Input Data is 28, 974, 351, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 974 is 2 x 487
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 295 is 5 x 59
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(28, 974) = 13636
GCD(28, 974) = ( 28 x 974 ) / 13636
GCD(28, 974) = 27272 / 13636
GCD(28, 974) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 351) = 702
GCD(2, 351) = ( 2 x 351 ) / 702
GCD(2, 351) = 702 / 702
GCD(2, 351) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
GCD of 28, 974, 351, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 974, 351, 295?
GCD of 28, 974, 351, 295 is 1
2. Where do I get the detailed procedure to find GCD of 28, 974, 351, 295?
You can find a detailed procedure to find GCD of 28, 974, 351, 295 on our page.
3. How to find GCD of 28, 974, 351, 295 on a calculator?
You can find the GCD of 28, 974, 351, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.