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 775, 522, 274, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 522, 274, 535 is 1
GCD(775, 522, 274, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 522, 274, 535 is 1
GCD(775, 522, 274, 535) = 1
Given Input numbers are 775, 522, 274, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 775, 522, 274, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 522, 274, 535 is 1.
Therefore, GCD of numbers 775, 522, 274, 535 is 1
Given Input Data is 775, 522, 274, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 274 is 2 x 137
Prime Factorization of 535 is 5 x 107
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(775, 522) = 404550
GCD(775, 522) = ( 775 x 522 ) / 404550
GCD(775, 522) = 404550 / 404550
GCD(775, 522) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 775, 522, 274, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 522, 274, 535?
GCD of 775, 522, 274, 535 is 1
2. Where do I get the detailed procedure to find GCD of 775, 522, 274, 535?
You can find a detailed procedure to find GCD of 775, 522, 274, 535 on our page.
3. How to find GCD of 775, 522, 274, 535 on a calculator?
You can find the GCD of 775, 522, 274, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.