GCD of 144, 538, 70, 568 Calculator

Given Input numbers are 144, 538, 70, 568

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 538 :

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

1, 2, 269, 538

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

GCD of numbers is the greatest common divisor

So, the GCD (144, 538, 70, 568) = 2.

Given numbers are 144, 538, 70, 568

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 538 are 2 x 269

Prime factors of 70 are 2 x 5 x 7

Prime factors of 568 are 2 x 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 144, 538, 70, 568 is 2.

Given numbers are 144, 538, 70, 568

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

Apply this formula for all numbers.

Step1:

LCM(144, 538) = 38736

GCD(144, 538) = ( 144 x 538 ) / 38736

= 144 / 538

= 144

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

= 2 / 568

= 2

So, Greatest Common Divisor of 144, 538, 70, 568 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 412, 71, 725
• GCD of 595, 922, 50, 773
• GCD of 628, 674, 12, 196
• GCD of 965, 194, 56, 800
• GCD of 897, 902, 75, 197

Given numbers are 144, 538, 70, 568
The greatest common divisor of numbers 144, 538, 70, 568 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 538, 70, 568 is 2.

1. What is the GCD of 144, 538, 70, 568?

GCD of given numbers 144, 538, 70, 568 is 2

2. How to calculate the greatest common divisor of 144, 538, 70, 568?

We can find the highest common divisor of 144, 538, 70, 568 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, 538, 70, 568 i.e 2.

3. How can I use the GCD of 144, 538, 70, 568Calculator?

Out the numbers 144, 538, 70, 568 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.