GCD of 502, 106, 687, 321 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 502, 106, 687, 321 quickly. Get the easiest ways to solve the greatest common divisor of 502, 106, 687, 321 i.e 1 in different methods as follows.
Given Input numbers are 502, 106, 687, 321
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 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (502, 106, 687, 321) = 1.
Given numbers are 502, 106, 687, 321
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 106 are 2 x 53
Prime factors of 687 are 3 x 229
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 502, 106, 687, 321 using LCM Formula
Given numbers are 502, 106, 687, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 106) = 26606
GCD(502, 106) = ( 502 x 106 ) / 26606
= 502 / 106
= 502
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 502, 106, 687, 321 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 502, 106, 687, 321
Given numbers are 502, 106, 687, 321
The greatest common divisor of numbers 502, 106, 687, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 106, 687, 321 is 1.
FAQs on GCD of 502, 106, 687, 321 Calculator
1. What is the GCD of 502, 106, 687, 321?
GCD of given numbers 502, 106, 687, 321 is 1
2. How to calculate the greatest common divisor of 502, 106, 687, 321?
We can find the highest common divisor of 502, 106, 687, 321 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, 106, 687, 321 i.e 1.
3. How can I use the GCD of 502, 106, 687, 321Calculator?
Out the numbers 502, 106, 687, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.