GCD of 502, 172, 36, 319 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 502, 172, 36, 319 quickly. Get the easiest ways to solve the greatest common divisor of 502, 172, 36, 319 i.e 1 in different methods as follows.
Given Input numbers are 502, 172, 36, 319
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 319 :
The positive integer divisors of 319 that completely divides 319 are.
1, 11, 29, 319
GCD of numbers is the greatest common divisor
So, the GCD (502, 172, 36, 319) = 1.
Given numbers are 502, 172, 36, 319
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 172 are 2 x 2 x 43
Prime factors of 36 are 2 x 2 x 3 x 3
Prime factors of 319 are 11 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 502, 172, 36, 319 using LCM Formula
Given numbers are 502, 172, 36, 319
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 172) = 43172
GCD(502, 172) = ( 502 x 172 ) / 43172
= 502 / 172
= 502
Step2:
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
= 2 / 36
= 2
Step3:
LCM(2, 319) = 638
GCD(2, 319) = ( 2 x 319 ) / 638
= 2 / 319
= 2
So, Greatest Common Divisor of 502, 172, 36, 319 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 502, 172, 36, 319
Given numbers are 502, 172, 36, 319
The greatest common divisor of numbers 502, 172, 36, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 172, 36, 319 is 1.
FAQs on GCD of 502, 172, 36, 319 Calculator
1. What is the GCD of 502, 172, 36, 319?
GCD of given numbers 502, 172, 36, 319 is 1
2. How to calculate the greatest common divisor of 502, 172, 36, 319?
We can find the highest common divisor of 502, 172, 36, 319 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 502, 172, 36, 319 i.e 1.
3. How can I use the GCD of 502, 172, 36, 319Calculator?
Out the numbers 502, 172, 36, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.