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 490, 914, 933, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 914, 933, 529 is 1
GCD(490, 914, 933, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 914, 933, 529 is 1
GCD(490, 914, 933, 529) = 1
Given Input numbers are 490, 914, 933, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 490, 914, 933, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 914, 933, 529 is 1.
Therefore, GCD of numbers 490, 914, 933, 529 is 1
Given Input Data is 490, 914, 933, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 914 is 2 x 457
Prime Factorization of 933 is 3 x 311
Prime Factorization of 529 is 23 x 23
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(490, 914) = 223930
GCD(490, 914) = ( 490 x 914 ) / 223930
GCD(490, 914) = 447860 / 223930
GCD(490, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 933) = 1866
GCD(2, 933) = ( 2 x 933 ) / 1866
GCD(2, 933) = 1866 / 1866
GCD(2, 933) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 490, 914, 933, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 914, 933, 529?
GCD of 490, 914, 933, 529 is 1
2. Where do I get the detailed procedure to find GCD of 490, 914, 933, 529?
You can find a detailed procedure to find GCD of 490, 914, 933, 529 on our page.
3. How to find GCD of 490, 914, 933, 529 on a calculator?
You can find the GCD of 490, 914, 933, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.