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 39, 612, 280, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 612, 280, 736 is 1
GCD(39, 612, 280, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 612, 280, 736 is 1
GCD(39, 612, 280, 736) = 1
Given Input numbers are 39, 612, 280, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 39, 612, 280, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 612, 280, 736 is 1.
Therefore, GCD of numbers 39, 612, 280, 736 is 1
Given Input Data is 39, 612, 280, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(39, 612) = 7956
GCD(39, 612) = ( 39 x 612 ) / 7956
GCD(39, 612) = 23868 / 7956
GCD(39, 612) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 280) = 840
GCD(3, 280) = ( 3 x 280 ) / 840
GCD(3, 280) = 840 / 840
GCD(3, 280) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 39, 612, 280, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 612, 280, 736?
GCD of 39, 612, 280, 736 is 1
2. Where do I get the detailed procedure to find GCD of 39, 612, 280, 736?
You can find a detailed procedure to find GCD of 39, 612, 280, 736 on our page.
3. How to find GCD of 39, 612, 280, 736 on a calculator?
You can find the GCD of 39, 612, 280, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.