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 537, 769, 69, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 769, 69, 104 is 1
GCD(537, 769, 69, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 769, 69, 104 is 1
GCD(537, 769, 69, 104) = 1
Given Input numbers are 537, 769, 69, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 537, 769, 69, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 769, 69, 104 is 1.
Therefore, GCD of numbers 537, 769, 69, 104 is 1
Given Input Data is 537, 769, 69, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 769 is 769
Prime Factorization of 69 is 3 x 23
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(537, 769) = 412953
GCD(537, 769) = ( 537 x 769 ) / 412953
GCD(537, 769) = 412953 / 412953
GCD(537, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 537, 769, 69, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 769, 69, 104?
GCD of 537, 769, 69, 104 is 1
2. Where do I get the detailed procedure to find GCD of 537, 769, 69, 104?
You can find a detailed procedure to find GCD of 537, 769, 69, 104 on our page.
3. How to find GCD of 537, 769, 69, 104 on a calculator?
You can find the GCD of 537, 769, 69, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.