GCD of 160, 144, 538, 130 Calculator

Given Input numbers are 160, 144, 538, 130

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (160, 144, 538, 130) = 2.

Given numbers are 160, 144, 538, 130

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 538 are 2 x 269

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 160, 144, 538, 130 is 2.

Given numbers are 160, 144, 538, 130

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

Apply this formula for all numbers.

Step1:

LCM(160, 144) = 1440

GCD(160, 144) = ( 160 x 144 ) / 1440

= 160 / 144

= 160

Step2:

LCM(16, 538) = 4304

GCD(16, 538) = ( 16 x 538 ) / 4304

= 16 / 538

= 16

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 160, 144, 538, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 159, 499, 574
• GCD of 111, 361, 224, 417
• GCD of 369, 873, 315, 720
• GCD of 725, 376, 979, 462
• GCD of 238, 573, 640, 624

Given numbers are 160, 144, 538, 130
The greatest common divisor of numbers 160, 144, 538, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 144, 538, 130 is 2.

1. What is the GCD of 160, 144, 538, 130?

GCD of given numbers 160, 144, 538, 130 is 2

2. How to calculate the greatest common divisor of 160, 144, 538, 130?

We can find the highest common divisor of 160, 144, 538, 130 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 160, 144, 538, 130 i.e 2.

3. How can I use the GCD of 160, 144, 538, 130Calculator?

Out the numbers 160, 144, 538, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.