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 175, 220, 82, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 220, 82, 832 is 1
GCD(175, 220, 82, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 220, 82, 832 is 1
GCD(175, 220, 82, 832) = 1
Given Input numbers are 175, 220, 82, 832
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 175, 220, 82, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 220, 82, 832 is 1.
Therefore, GCD of numbers 175, 220, 82, 832 is 1
Given Input Data is 175, 220, 82, 832
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 82 is 2 x 41
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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(175, 220) = 7700
GCD(175, 220) = ( 175 x 220 ) / 7700
GCD(175, 220) = 38500 / 7700
GCD(175, 220) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 82) = 410
GCD(5, 82) = ( 5 x 82 ) / 410
GCD(5, 82) = 410 / 410
GCD(5, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
GCD of 175, 220, 82, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 220, 82, 832?
GCD of 175, 220, 82, 832 is 1
2. Where do I get the detailed procedure to find GCD of 175, 220, 82, 832?
You can find a detailed procedure to find GCD of 175, 220, 82, 832 on our page.
3. How to find GCD of 175, 220, 82, 832 on a calculator?
You can find the GCD of 175, 220, 82, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.