GCD of 144, 164, 120, 502 Calculator

Given Input numbers are 144, 164, 120, 502

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (144, 164, 120, 502) = 2.

Given numbers are 144, 164, 120, 502

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 164 are 2 x 2 x 41

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 144, 164, 120, 502 is 2.

Given numbers are 144, 164, 120, 502

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

Apply this formula for all numbers.

Step1:

LCM(144, 164) = 5904

GCD(144, 164) = ( 144 x 164 ) / 5904

= 144 / 164

= 144

Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

Step3:

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

= 4 / 502

= 4

So, Greatest Common Divisor of 144, 164, 120, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 454, 322, 535
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• GCD of 884, 304, 992, 468

Given numbers are 144, 164, 120, 502
The greatest common divisor of numbers 144, 164, 120, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 164, 120, 502 is 2.

1. What is the GCD of 144, 164, 120, 502?

GCD of given numbers 144, 164, 120, 502 is 2

2. How to calculate the greatest common divisor of 144, 164, 120, 502?

We can find the highest common divisor of 144, 164, 120, 502 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 144, 164, 120, 502 i.e 2.

3. How can I use the GCD of 144, 164, 120, 502Calculator?

Out the numbers 144, 164, 120, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.