GCD of 129, 501, 720, 111 Calculator

Given Input numbers are 129, 501, 720, 111

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 501 :

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

1, 3, 167, 501

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

GCD of numbers is the greatest common divisor

So, the GCD (129, 501, 720, 111) = 3.

Given numbers are 129, 501, 720, 111

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 501 are 3 x 167

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 111 are 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 129, 501, 720, 111 is 3.

Given numbers are 129, 501, 720, 111

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

Apply this formula for all numbers.

Step1:

LCM(129, 501) = 21543

GCD(129, 501) = ( 129 x 501 ) / 21543

= 129 / 501

= 129

Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

Step3:

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

= 3 / 111

= 3

So, Greatest Common Divisor of 129, 501, 720, 111 is 3

Here are some samples of GCD of Numbers calculations.

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Given numbers are 129, 501, 720, 111
The greatest common divisor of numbers 129, 501, 720, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 501, 720, 111 is 3.

1. What is the GCD of 129, 501, 720, 111?

GCD of given numbers 129, 501, 720, 111 is 3

2. How to calculate the greatest common divisor of 129, 501, 720, 111?

We can find the highest common divisor of 129, 501, 720, 111 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 129, 501, 720, 111 i.e 3.

3. How can I use the GCD of 129, 501, 720, 111Calculator?

Out the numbers 129, 501, 720, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.