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 47, 261, 836, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 261, 836, 624 is 1
GCD(47, 261, 836, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 261, 836, 624 is 1
GCD(47, 261, 836, 624) = 1
Given Input numbers are 47, 261, 836, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 47, 261, 836, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 261, 836, 624 is 1.
Therefore, GCD of numbers 47, 261, 836, 624 is 1
Given Input Data is 47, 261, 836, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(47, 261) = 12267
GCD(47, 261) = ( 47 x 261 ) / 12267
GCD(47, 261) = 12267 / 12267
GCD(47, 261) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 836) = 836
GCD(1, 836) = ( 1 x 836 ) / 836
GCD(1, 836) = 836 / 836
GCD(1, 836) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 47, 261, 836, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 261, 836, 624?
GCD of 47, 261, 836, 624 is 1
2. Where do I get the detailed procedure to find GCD of 47, 261, 836, 624?
You can find a detailed procedure to find GCD of 47, 261, 836, 624 on our page.
3. How to find GCD of 47, 261, 836, 624 on a calculator?
You can find the GCD of 47, 261, 836, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.