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 535, 495, 69, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 495, 69, 387 is 1
GCD(535, 495, 69, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 495, 69, 387 is 1
GCD(535, 495, 69, 387) = 1
Given Input numbers are 535, 495, 69, 387
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 535, 495, 69, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 495, 69, 387 is 1.
Therefore, GCD of numbers 535, 495, 69, 387 is 1
Given Input Data is 535, 495, 69, 387
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 69 is 3 x 23
Prime Factorization of 387 is 3 x 3 x 43
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(535, 495) = 52965
GCD(535, 495) = ( 535 x 495 ) / 52965
GCD(535, 495) = 264825 / 52965
GCD(535, 495) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 69) = 345
GCD(5, 69) = ( 5 x 69 ) / 345
GCD(5, 69) = 345 / 345
GCD(5, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 535, 495, 69, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 495, 69, 387?
GCD of 535, 495, 69, 387 is 1
2. Where do I get the detailed procedure to find GCD of 535, 495, 69, 387?
You can find a detailed procedure to find GCD of 535, 495, 69, 387 on our page.
3. How to find GCD of 535, 495, 69, 387 on a calculator?
You can find the GCD of 535, 495, 69, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.