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 274, 826, 281, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 826, 281, 328 is 1
GCD(274, 826, 281, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 826, 281, 328 is 1
GCD(274, 826, 281, 328) = 1
Given Input numbers are 274, 826, 281, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 274, 826, 281, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 826, 281, 328 is 1.
Therefore, GCD of numbers 274, 826, 281, 328 is 1
Given Input Data is 274, 826, 281, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 281 is 281
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(274, 826) = 113162
GCD(274, 826) = ( 274 x 826 ) / 113162
GCD(274, 826) = 226324 / 113162
GCD(274, 826) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 281) = 562
GCD(2, 281) = ( 2 x 281 ) / 562
GCD(2, 281) = 562 / 562
GCD(2, 281) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
GCD of 274, 826, 281, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 826, 281, 328?
GCD of 274, 826, 281, 328 is 1
2. Where do I get the detailed procedure to find GCD of 274, 826, 281, 328?
You can find a detailed procedure to find GCD of 274, 826, 281, 328 on our page.
3. How to find GCD of 274, 826, 281, 328 on a calculator?
You can find the GCD of 274, 826, 281, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.