GCD of 501, 177, 200 Calculator
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 501, 177, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 177, 200 is 1
GCD(501, 177, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 177, 200 is 1
GCD(501, 177, 200) = 1
GCDof 501,177,200 is 1
Given Input numbers are 501, 177, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 501, 177, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 177, 200 is 1.
Therefore, GCD of numbers 501, 177, 200 is 1
Given Input Data is 501, 177, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 177 is 3 x 59
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 501, 177, 200 using LCM Formula
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(501, 177) = 29559
GCD(501, 177) = ( 501 x 177 ) / 29559
GCD(501, 177) = 88677 / 29559
GCD(501, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 200) = 600
GCD(3, 200) = ( 3 x 200 ) / 600
GCD(3, 200) = 600 / 600
GCD(3, 200) = 1
GCD of 501, 177, 200 is 1
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FAQs on GCD of numbers 501, 177, 200
1. What is the GCD of 501, 177, 200?
GCD of 501, 177, 200 is 1
2. Where do I get the detailed procedure to find GCD of 501, 177, 200?
You can find a detailed procedure to find GCD of 501, 177, 200 on our page.
3. How to find GCD of 501, 177, 200 on a calculator?
You can find the GCD of 501, 177, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.