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GCD of 501, 600, 105 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 501, 600, 105 quickly. Get the easiest ways to solve the greatest common divisor of 501, 600, 105 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 501, 600, 105 with Factoring?

Given Input numbers are 501, 600, 105

In the factoring method, we have to find the divisors of all numbers

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105


GCD of numbers is the greatest common divisor

So, the GCD (501, 600, 105) = 3.

Find GCD of 501, 600, 105 using Prime Factorization

Given numbers are 501, 600, 105

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 31

Therefore, GCD of 501, 600, 105 is 3.

Steps to Calculate GCD of 501, 600, 105 using LCM Formula

Given numbers are 501, 600, 105

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(501, 600) = 100200

GCD(501, 600) = ( 501 x 600 ) / 100200

= 501 / 600

= 501

Step2:

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

= 3 / 105

= 3


So, Greatest Common Divisor of 501, 600, 105 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 501, 600, 105

Given numbers are 501, 600, 105
The greatest common divisor of numbers 501, 600, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 600, 105 is 3.

FAQs on GCD of 501, 600, 105 Calculator

1. What is the GCD of 501, 600, 105?

GCD of given numbers 501, 600, 105 is 3

2. How to calculate the greatest common divisor of 501, 600, 105?

We can find the highest common divisor of 501, 600, 105 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 501, 600, 105 i.e 3.

3. How can I use the GCD of 501, 600, 105Calculator?

Out the numbers 501, 600, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.