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 294, 270, 47, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 270, 47, 861 is 1
GCD(294, 270, 47, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 270, 47, 861 is 1
GCD(294, 270, 47, 861) = 1
Given Input numbers are 294, 270, 47, 861
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 294, 270, 47, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 270, 47, 861 is 1.
Therefore, GCD of numbers 294, 270, 47, 861 is 1
Given Input Data is 294, 270, 47, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 47 is 47
Prime Factorization of 861 is 3 x 7 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(294, 270) = 13230
GCD(294, 270) = ( 294 x 270 ) / 13230
GCD(294, 270) = 79380 / 13230
GCD(294, 270) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 47) = 282
GCD(6, 47) = ( 6 x 47 ) / 282
GCD(6, 47) = 282 / 282
GCD(6, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 294, 270, 47, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 270, 47, 861?
GCD of 294, 270, 47, 861 is 1
2. Where do I get the detailed procedure to find GCD of 294, 270, 47, 861?
You can find a detailed procedure to find GCD of 294, 270, 47, 861 on our page.
3. How to find GCD of 294, 270, 47, 861 on a calculator?
You can find the GCD of 294, 270, 47, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.