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 970, 270, 820 i.e. 10 largest integer that divides all the numbers equally.
GCD of 970, 270, 820 is 10
GCD(970, 270, 820) = 10
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 270, 820 is 10
GCD(970, 270, 820) = 10
Given Input numbers are 970, 270, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
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 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 970, 270, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 270, 820 is 10.
Therefore, GCD of numbers 970, 270, 820 is 10
Given Input Data is 970, 270, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 820 is 2 x 2 x 5 x 41
Highest common occurrences in the given inputs are 21 x 51
Multiplying them we get the GCD as 10
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(970, 270) = 26190
GCD(970, 270) = ( 970 x 270 ) / 26190
GCD(970, 270) = 261900 / 26190
GCD(970, 270) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 820) = 820
GCD(10, 820) = ( 10 x 820 ) / 820
GCD(10, 820) = 8200 / 820
GCD(10, 820) = 10
GCD of 970, 270, 820 is 10
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 270, 820?
GCD of 970, 270, 820 is 10
2. Where do I get the detailed procedure to find GCD of 970, 270, 820?
You can find a detailed procedure to find GCD of 970, 270, 820 on our page.
3. How to find GCD of 970, 270, 820 on a calculator?
You can find the GCD of 970, 270, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.