GCD of 144, 538, 68, 267 Calculator

Given Input numbers are 144, 538, 68, 267

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 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (144, 538, 68, 267) = 1.

Given numbers are 144, 538, 68, 267

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 68 are 2 x 2 x 17

Prime factors of 267 are 3 x 89

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 538, 68, 267

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, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

= 2 / 68

= 2

Step3:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2

So, Greatest Common Divisor of 144, 538, 68, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 644, 22, 913
• GCD of 736, 538, 99, 977
• GCD of 492, 621, 45, 814
• GCD of 190, 453, 13, 693
• GCD of 591, 777, 91, 545

Given numbers are 144, 538, 68, 267
The greatest common divisor of numbers 144, 538, 68, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 538, 68, 267 is 1.

1. What is the GCD of 144, 538, 68, 267?

GCD of given numbers 144, 538, 68, 267 is 1

2. How to calculate the greatest common divisor of 144, 538, 68, 267?

We can find the highest common divisor of 144, 538, 68, 267 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, 68, 267 i.e 1.

3. How can I use the GCD of 144, 538, 68, 267Calculator?

Out the numbers 144, 538, 68, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.