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 435, 383, 51, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 383, 51, 270 is 1
GCD(435, 383, 51, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 383, 51, 270 is 1
GCD(435, 383, 51, 270) = 1
Given Input numbers are 435, 383, 51, 270
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
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
Greatest Common Divisior
We found the divisors of 435, 383, 51, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 383, 51, 270 is 1.
Therefore, GCD of numbers 435, 383, 51, 270 is 1
Given Input Data is 435, 383, 51, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 383 is 383
Prime Factorization of 51 is 3 x 17
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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(435, 383) = 166605
GCD(435, 383) = ( 435 x 383 ) / 166605
GCD(435, 383) = 166605 / 166605
GCD(435, 383) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 435, 383, 51, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 383, 51, 270?
GCD of 435, 383, 51, 270 is 1
2. Where do I get the detailed procedure to find GCD of 435, 383, 51, 270?
You can find a detailed procedure to find GCD of 435, 383, 51, 270 on our page.
3. How to find GCD of 435, 383, 51, 270 on a calculator?
You can find the GCD of 435, 383, 51, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.