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 281, 134, 71, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 281, 134, 71, 756 is 1
GCD(281, 134, 71, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 281, 134, 71, 756 is 1
GCD(281, 134, 71, 756) = 1
Given Input numbers are 281, 134, 71, 756
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Greatest Common Divisior
We found the divisors of 281, 134, 71, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 134, 71, 756 is 1.
Therefore, GCD of numbers 281, 134, 71, 756 is 1
Given Input Data is 281, 134, 71, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 281 is 281
Prime Factorization of 134 is 2 x 67
Prime Factorization of 71 is 71
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
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(281, 134) = 37654
GCD(281, 134) = ( 281 x 134 ) / 37654
GCD(281, 134) = 37654 / 37654
GCD(281, 134) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
GCD(1, 756) = 756 / 756
GCD(1, 756) = 1
GCD of 281, 134, 71, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 281, 134, 71, 756?
GCD of 281, 134, 71, 756 is 1
2. Where do I get the detailed procedure to find GCD of 281, 134, 71, 756?
You can find a detailed procedure to find GCD of 281, 134, 71, 756 on our page.
3. How to find GCD of 281, 134, 71, 756 on a calculator?
You can find the GCD of 281, 134, 71, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.