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 270, 805, 470, 375 i.e. 5 largest integer that divides all the numbers equally.
GCD of 270, 805, 470, 375 is 5
GCD(270, 805, 470, 375) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 805, 470, 375 is 5
GCD(270, 805, 470, 375) = 5
Given Input numbers are 270, 805, 470, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 270, 805, 470, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 805, 470, 375 is 5.
Therefore, GCD of numbers 270, 805, 470, 375 is 5
Given Input Data is 270, 805, 470, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(270, 805) = 43470
GCD(270, 805) = ( 270 x 805 ) / 43470
GCD(270, 805) = 217350 / 43470
GCD(270, 805) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 470) = 470
GCD(5, 470) = ( 5 x 470 ) / 470
GCD(5, 470) = 2350 / 470
GCD(5, 470) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 375) = 375
GCD(5, 375) = ( 5 x 375 ) / 375
GCD(5, 375) = 1875 / 375
GCD(5, 375) = 5
GCD of 270, 805, 470, 375 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 805, 470, 375?
GCD of 270, 805, 470, 375 is 5
2. Where do I get the detailed procedure to find GCD of 270, 805, 470, 375?
You can find a detailed procedure to find GCD of 270, 805, 470, 375 on our page.
3. How to find GCD of 270, 805, 470, 375 on a calculator?
You can find the GCD of 270, 805, 470, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.