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 496, 175, 146, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 175, 146, 833 is 1
GCD(496, 175, 146, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 175, 146, 833 is 1
GCD(496, 175, 146, 833) = 1
Given Input numbers are 496, 175, 146, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 496, 175, 146, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 175, 146, 833 is 1.
Therefore, GCD of numbers 496, 175, 146, 833 is 1
Given Input Data is 496, 175, 146, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 146 is 2 x 73
Prime Factorization of 833 is 7 x 7 x 17
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(496, 175) = 86800
GCD(496, 175) = ( 496 x 175 ) / 86800
GCD(496, 175) = 86800 / 86800
GCD(496, 175) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 496, 175, 146, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 175, 146, 833?
GCD of 496, 175, 146, 833 is 1
2. Where do I get the detailed procedure to find GCD of 496, 175, 146, 833?
You can find a detailed procedure to find GCD of 496, 175, 146, 833 on our page.
3. How to find GCD of 496, 175, 146, 833 on a calculator?
You can find the GCD of 496, 175, 146, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.