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 533, 756, 35 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 756, 35 is 1
GCD(533, 756, 35) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 756, 35 is 1
GCD(533, 756, 35) = 1
Given Input numbers are 533, 756, 35
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Greatest Common Divisior
We found the divisors of 533, 756, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 756, 35 is 1.
Therefore, GCD of numbers 533, 756, 35 is 1
Given Input Data is 533, 756, 35
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 35 is 5 x 7
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(533, 756) = 402948
GCD(533, 756) = ( 533 x 756 ) / 402948
GCD(533, 756) = 402948 / 402948
GCD(533, 756) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
GCD of 533, 756, 35 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 756, 35?
GCD of 533, 756, 35 is 1
2. Where do I get the detailed procedure to find GCD of 533, 756, 35?
You can find a detailed procedure to find GCD of 533, 756, 35 on our page.
3. How to find GCD of 533, 756, 35 on a calculator?
You can find the GCD of 533, 756, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.