GCD of 506, 140, 144 Calculator

Given Input numbers are 506, 140, 144

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

GCD of numbers is the greatest common divisor

So, the GCD (506, 140, 144) = 2.

Given numbers are 506, 140, 144

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 506, 140, 144 is 2.

Given numbers are 506, 140, 144

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

Apply this formula for all numbers.

Step1:

LCM(506, 140) = 35420

GCD(506, 140) = ( 506 x 140 ) / 35420

= 506 / 140

= 506

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 506, 140, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 721, 671
• GCD of 909, 193, 589
• GCD of 913, 862, 424
• GCD of 494, 988, 159
• GCD of 860, 508, 193

Given numbers are 506, 140, 144
The greatest common divisor of numbers 506, 140, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 140, 144 is 2.

1. What is the GCD of 506, 140, 144?

GCD of given numbers 506, 140, 144 is 2

2. How to calculate the greatest common divisor of 506, 140, 144?

We can find the highest common divisor of 506, 140, 144 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 506, 140, 144 i.e 2.

3. How can I use the GCD of 506, 140, 144Calculator?

Out the numbers 506, 140, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.