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 52, 840, 612, 943 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 840, 612, 943 is 1
GCD(52, 840, 612, 943) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 840, 612, 943 is 1
GCD(52, 840, 612, 943) = 1
Given Input numbers are 52, 840, 612, 943
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Greatest Common Divisior
We found the divisors of 52, 840, 612, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 840, 612, 943 is 1.
Therefore, GCD of numbers 52, 840, 612, 943 is 1
Given Input Data is 52, 840, 612, 943
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 943 is 23 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(52, 840) = 10920
GCD(52, 840) = ( 52 x 840 ) / 10920
GCD(52, 840) = 43680 / 10920
GCD(52, 840) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
GCD(4, 612) = 2448 / 612
GCD(4, 612) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 943) = 3772
GCD(4, 943) = ( 4 x 943 ) / 3772
GCD(4, 943) = 3772 / 3772
GCD(4, 943) = 1
GCD of 52, 840, 612, 943 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 840, 612, 943?
GCD of 52, 840, 612, 943 is 1
2. Where do I get the detailed procedure to find GCD of 52, 840, 612, 943?
You can find a detailed procedure to find GCD of 52, 840, 612, 943 on our page.
3. How to find GCD of 52, 840, 612, 943 on a calculator?
You can find the GCD of 52, 840, 612, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.