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 15, 616, 441, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 616, 441, 340 is 1
GCD(15, 616, 441, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 616, 441, 340 is 1
GCD(15, 616, 441, 340) = 1
Given Input numbers are 15, 616, 441, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 15, 616, 441, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 616, 441, 340 is 1.
Therefore, GCD of numbers 15, 616, 441, 340 is 1
Given Input Data is 15, 616, 441, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 340 is 2 x 2 x 5 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(15, 616) = 9240
GCD(15, 616) = ( 15 x 616 ) / 9240
GCD(15, 616) = 9240 / 9240
GCD(15, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 15, 616, 441, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 616, 441, 340?
GCD of 15, 616, 441, 340 is 1
2. Where do I get the detailed procedure to find GCD of 15, 616, 441, 340?
You can find a detailed procedure to find GCD of 15, 616, 441, 340 on our page.
3. How to find GCD of 15, 616, 441, 340 on a calculator?
You can find the GCD of 15, 616, 441, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.