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 370, 710, 130, 485 i.e. 5 largest integer that divides all the numbers equally.
GCD of 370, 710, 130, 485 is 5
GCD(370, 710, 130, 485) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 710, 130, 485 is 5
GCD(370, 710, 130, 485) = 5
Given Input numbers are 370, 710, 130, 485
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
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 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Greatest Common Divisior
We found the divisors of 370, 710, 130, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 710, 130, 485 is 5.
Therefore, GCD of numbers 370, 710, 130, 485 is 5
Given Input Data is 370, 710, 130, 485
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 485 is 5 x 97
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(370, 710) = 26270
GCD(370, 710) = ( 370 x 710 ) / 26270
GCD(370, 710) = 262700 / 26270
GCD(370, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 130) = 130
GCD(10, 130) = ( 10 x 130 ) / 130
GCD(10, 130) = 1300 / 130
GCD(10, 130) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 485
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 485) = 970
GCD(10, 485) = ( 10 x 485 ) / 970
GCD(10, 485) = 4850 / 970
GCD(10, 485) = 5
GCD of 370, 710, 130, 485 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 710, 130, 485?
GCD of 370, 710, 130, 485 is 5
2. Where do I get the detailed procedure to find GCD of 370, 710, 130, 485?
You can find a detailed procedure to find GCD of 370, 710, 130, 485 on our page.
3. How to find GCD of 370, 710, 130, 485 on a calculator?
You can find the GCD of 370, 710, 130, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.