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 195, 657, 769, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 657, 769, 532 is 1
GCD(195, 657, 769, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 657, 769, 532 is 1
GCD(195, 657, 769, 532) = 1
Given Input numbers are 195, 657, 769, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 195, 657, 769, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 657, 769, 532 is 1.
Therefore, GCD of numbers 195, 657, 769, 532 is 1
Given Input Data is 195, 657, 769, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 769 is 769
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(195, 657) = 42705
GCD(195, 657) = ( 195 x 657 ) / 42705
GCD(195, 657) = 128115 / 42705
GCD(195, 657) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 769) = 2307
GCD(3, 769) = ( 3 x 769 ) / 2307
GCD(3, 769) = 2307 / 2307
GCD(3, 769) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 195, 657, 769, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 657, 769, 532?
GCD of 195, 657, 769, 532 is 1
2. Where do I get the detailed procedure to find GCD of 195, 657, 769, 532?
You can find a detailed procedure to find GCD of 195, 657, 769, 532 on our page.
3. How to find GCD of 195, 657, 769, 532 on a calculator?
You can find the GCD of 195, 657, 769, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.