GCD of 136, 570, 240, 144 Calculator

Given Input numbers are 136, 570, 240, 144

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 (136, 570, 240, 144) = 2.

Given numbers are 136, 570, 240, 144

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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 136, 570, 240, 144 is 2.

Given numbers are 136, 570, 240, 144

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

Apply this formula for all numbers.

Step1:

LCM(136, 570) = 38760

GCD(136, 570) = ( 136 x 570 ) / 38760

= 136 / 570

= 136

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 144) = 144

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

= 2 / 144

= 2

So, Greatest Common Divisor of 136, 570, 240, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 701, 575, 989
• GCD of 551, 110, 218, 875
• GCD of 872, 638, 552, 331
• GCD of 725, 458, 928, 129
• GCD of 285, 499, 167, 352

Given numbers are 136, 570, 240, 144
The greatest common divisor of numbers 136, 570, 240, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 570, 240, 144 is 2.

1. What is the GCD of 136, 570, 240, 144?

GCD of given numbers 136, 570, 240, 144 is 2

2. How to calculate the greatest common divisor of 136, 570, 240, 144?

We can find the highest common divisor of 136, 570, 240, 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 136, 570, 240, 144 i.e 2.

3. How can I use the GCD of 136, 570, 240, 144Calculator?

Out the numbers 136, 570, 240, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.