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 130, 360, 615, 785 i.e. 5 largest integer that divides all the numbers equally.
GCD of 130, 360, 615, 785 is 5
GCD(130, 360, 615, 785) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 360, 615, 785 is 5
GCD(130, 360, 615, 785) = 5
Given Input numbers are 130, 360, 615, 785
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 130, 360, 615, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 360, 615, 785 is 5.
Therefore, GCD of numbers 130, 360, 615, 785 is 5
Given Input Data is 130, 360, 615, 785
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 785 is 5 x 157
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(130, 360) = 4680
GCD(130, 360) = ( 130 x 360 ) / 4680
GCD(130, 360) = 46800 / 4680
GCD(130, 360) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 615) = 1230
GCD(10, 615) = ( 10 x 615 ) / 1230
GCD(10, 615) = 6150 / 1230
GCD(10, 615) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 785) = 785
GCD(5, 785) = ( 5 x 785 ) / 785
GCD(5, 785) = 3925 / 785
GCD(5, 785) = 5
GCD of 130, 360, 615, 785 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 360, 615, 785?
GCD of 130, 360, 615, 785 is 5
2. Where do I get the detailed procedure to find GCD of 130, 360, 615, 785?
You can find a detailed procedure to find GCD of 130, 360, 615, 785 on our page.
3. How to find GCD of 130, 360, 615, 785 on a calculator?
You can find the GCD of 130, 360, 615, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.