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 35, 523, 803, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 523, 803, 392 is 1
GCD(35, 523, 803, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 523, 803, 392 is 1
GCD(35, 523, 803, 392) = 1
Given Input numbers are 35, 523, 803, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 35, 523, 803, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 523, 803, 392 is 1.
Therefore, GCD of numbers 35, 523, 803, 392 is 1
Given Input Data is 35, 523, 803, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 523 is 523
Prime Factorization of 803 is 11 x 73
Prime Factorization of 392 is 2 x 2 x 2 x 7 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(35, 523) = 18305
GCD(35, 523) = ( 35 x 523 ) / 18305
GCD(35, 523) = 18305 / 18305
GCD(35, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 35, 523, 803, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 523, 803, 392?
GCD of 35, 523, 803, 392 is 1
2. Where do I get the detailed procedure to find GCD of 35, 523, 803, 392?
You can find a detailed procedure to find GCD of 35, 523, 803, 392 on our page.
3. How to find GCD of 35, 523, 803, 392 on a calculator?
You can find the GCD of 35, 523, 803, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.