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 176, 371, 10, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 371, 10, 567 is 1
GCD(176, 371, 10, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 371, 10, 567 is 1
GCD(176, 371, 10, 567) = 1
Given Input numbers are 176, 371, 10, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 176, 371, 10, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 371, 10, 567 is 1.
Therefore, GCD of numbers 176, 371, 10, 567 is 1
Given Input Data is 176, 371, 10, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 371 is 7 x 53
Prime Factorization of 10 is 2 x 5
Prime Factorization of 567 is 3 x 3 x 3 x 3 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(176, 371) = 65296
GCD(176, 371) = ( 176 x 371 ) / 65296
GCD(176, 371) = 65296 / 65296
GCD(176, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 176, 371, 10, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 371, 10, 567?
GCD of 176, 371, 10, 567 is 1
2. Where do I get the detailed procedure to find GCD of 176, 371, 10, 567?
You can find a detailed procedure to find GCD of 176, 371, 10, 567 on our page.
3. How to find GCD of 176, 371, 10, 567 on a calculator?
You can find the GCD of 176, 371, 10, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.