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 269, 840, 47 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 840, 47 is 1
GCD(269, 840, 47) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 840, 47 is 1
GCD(269, 840, 47) = 1
Given Input numbers are 269, 840, 47
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Greatest Common Divisior
We found the divisors of 269, 840, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 840, 47 is 1.
Therefore, GCD of numbers 269, 840, 47 is 1
Given Input Data is 269, 840, 47
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 47 is 47
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(269, 840) = 225960
GCD(269, 840) = ( 269 x 840 ) / 225960
GCD(269, 840) = 225960 / 225960
GCD(269, 840) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
GCD of 269, 840, 47 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 840, 47?
GCD of 269, 840, 47 is 1
2. Where do I get the detailed procedure to find GCD of 269, 840, 47?
You can find a detailed procedure to find GCD of 269, 840, 47 on our page.
3. How to find GCD of 269, 840, 47 on a calculator?
You can find the GCD of 269, 840, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.