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 32, 849, 490, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 849, 490, 929 is 1
GCD(32, 849, 490, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 849, 490, 929 is 1
GCD(32, 849, 490, 929) = 1
Given Input numbers are 32, 849, 490, 929
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
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 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 32, 849, 490, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 849, 490, 929 is 1.
Therefore, GCD of numbers 32, 849, 490, 929 is 1
Given Input Data is 32, 849, 490, 929
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 849 is 3 x 283
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 929 is 929
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(32, 849) = 27168
GCD(32, 849) = ( 32 x 849 ) / 27168
GCD(32, 849) = 27168 / 27168
GCD(32, 849) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 929) = 929
GCD(1, 929) = ( 1 x 929 ) / 929
GCD(1, 929) = 929 / 929
GCD(1, 929) = 1
GCD of 32, 849, 490, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 849, 490, 929?
GCD of 32, 849, 490, 929 is 1
2. Where do I get the detailed procedure to find GCD of 32, 849, 490, 929?
You can find a detailed procedure to find GCD of 32, 849, 490, 929 on our page.
3. How to find GCD of 32, 849, 490, 929 on a calculator?
You can find the GCD of 32, 849, 490, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.