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 325, 578, 35, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 578, 35, 982 is 1
GCD(325, 578, 35, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 578, 35, 982 is 1
GCD(325, 578, 35, 982) = 1
Given Input numbers are 325, 578, 35, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 325, 578, 35, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 578, 35, 982 is 1.
Therefore, GCD of numbers 325, 578, 35, 982 is 1
Given Input Data is 325, 578, 35, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 35 is 5 x 7
Prime Factorization of 982 is 2 x 491
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(325, 578) = 187850
GCD(325, 578) = ( 325 x 578 ) / 187850
GCD(325, 578) = 187850 / 187850
GCD(325, 578) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 325, 578, 35, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 578, 35, 982?
GCD of 325, 578, 35, 982 is 1
2. Where do I get the detailed procedure to find GCD of 325, 578, 35, 982?
You can find a detailed procedure to find GCD of 325, 578, 35, 982 on our page.
3. How to find GCD of 325, 578, 35, 982 on a calculator?
You can find the GCD of 325, 578, 35, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.