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 297, 770, 533, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 770, 533, 535 is 1
GCD(297, 770, 533, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 770, 533, 535 is 1
GCD(297, 770, 533, 535) = 1
Given Input numbers are 297, 770, 533, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
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 297, 770, 533, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 770, 533, 535 is 1.
Therefore, GCD of numbers 297, 770, 533, 535 is 1
Given Input Data is 297, 770, 533, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 533 is 13 x 41
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(297, 770) = 20790
GCD(297, 770) = ( 297 x 770 ) / 20790
GCD(297, 770) = 228690 / 20790
GCD(297, 770) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 533) = 5863
GCD(11, 533) = ( 11 x 533 ) / 5863
GCD(11, 533) = 5863 / 5863
GCD(11, 533) = 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 297, 770, 533, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 770, 533, 535?
GCD of 297, 770, 533, 535 is 1
2. Where do I get the detailed procedure to find GCD of 297, 770, 533, 535?
You can find a detailed procedure to find GCD of 297, 770, 533, 535 on our page.
3. How to find GCD of 297, 770, 533, 535 on a calculator?
You can find the GCD of 297, 770, 533, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.