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 840, 381, 872, 544 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 381, 872, 544 is 1
GCD(840, 381, 872, 544) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 381, 872, 544 is 1
GCD(840, 381, 872, 544) = 1
Given Input numbers are 840, 381, 872, 544
To find the GCD of numbers using factoring list out all the divisors of each number
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Greatest Common Divisior
We found the divisors of 840, 381, 872, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 381, 872, 544 is 1.
Therefore, GCD of numbers 840, 381, 872, 544 is 1
Given Input Data is 840, 381, 872, 544
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 381 is 3 x 127
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
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(840, 381) = 106680
GCD(840, 381) = ( 840 x 381 ) / 106680
GCD(840, 381) = 320040 / 106680
GCD(840, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 872) = 2616
GCD(3, 872) = ( 3 x 872 ) / 2616
GCD(3, 872) = 2616 / 2616
GCD(3, 872) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 544
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 544) = 544
GCD(1, 544) = ( 1 x 544 ) / 544
GCD(1, 544) = 544 / 544
GCD(1, 544) = 1
GCD of 840, 381, 872, 544 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 381, 872, 544?
GCD of 840, 381, 872, 544 is 1
2. Where do I get the detailed procedure to find GCD of 840, 381, 872, 544?
You can find a detailed procedure to find GCD of 840, 381, 872, 544 on our page.
3. How to find GCD of 840, 381, 872, 544 on a calculator?
You can find the GCD of 840, 381, 872, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.