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, 703, 545, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 703, 545, 348 is 1
GCD(15, 703, 545, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 703, 545, 348 is 1
GCD(15, 703, 545, 348) = 1
Given Input numbers are 15, 703, 545, 348
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 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 15, 703, 545, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 703, 545, 348 is 1.
Therefore, GCD of numbers 15, 703, 545, 348 is 1
Given Input Data is 15, 703, 545, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 703 is 19 x 37
Prime Factorization of 545 is 5 x 109
Prime Factorization of 348 is 2 x 2 x 3 x 29
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, 703) = 10545
GCD(15, 703) = ( 15 x 703 ) / 10545
GCD(15, 703) = 10545 / 10545
GCD(15, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 15, 703, 545, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 703, 545, 348?
GCD of 15, 703, 545, 348 is 1
2. Where do I get the detailed procedure to find GCD of 15, 703, 545, 348?
You can find a detailed procedure to find GCD of 15, 703, 545, 348 on our page.
3. How to find GCD of 15, 703, 545, 348 on a calculator?
You can find the GCD of 15, 703, 545, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.