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 575, 615, 414, 488 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 615, 414, 488 is 1
GCD(575, 615, 414, 488) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 615, 414, 488 is 1
GCD(575, 615, 414, 488) = 1
Given Input numbers are 575, 615, 414, 488
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 575, 615, 414, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 615, 414, 488 is 1.
Therefore, GCD of numbers 575, 615, 414, 488 is 1
Given Input Data is 575, 615, 414, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 488 is 2 x 2 x 2 x 61
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(575, 615) = 70725
GCD(575, 615) = ( 575 x 615 ) / 70725
GCD(575, 615) = 353625 / 70725
GCD(575, 615) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 414) = 2070
GCD(5, 414) = ( 5 x 414 ) / 2070
GCD(5, 414) = 2070 / 2070
GCD(5, 414) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
GCD of 575, 615, 414, 488 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 615, 414, 488?
GCD of 575, 615, 414, 488 is 1
2. Where do I get the detailed procedure to find GCD of 575, 615, 414, 488?
You can find a detailed procedure to find GCD of 575, 615, 414, 488 on our page.
3. How to find GCD of 575, 615, 414, 488 on a calculator?
You can find the GCD of 575, 615, 414, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.