GCD of 560, 144, 533, 107 Calculator

Given Input numbers are 560, 144, 533, 107

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (560, 144, 533, 107) = 1.

Given numbers are 560, 144, 533, 107

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Prime factors of 533 are 13 x 41

Prime factors of 107 are 107

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

Given numbers are 560, 144, 533, 107

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

Apply this formula for all numbers.

Step1:

LCM(560, 144) = 5040

GCD(560, 144) = ( 560 x 144 ) / 5040

= 560 / 144

= 560

Step2:

LCM(16, 533) = 8528

GCD(16, 533) = ( 16 x 533 ) / 8528

= 16 / 533

= 16

Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

So, Greatest Common Divisor of 560, 144, 533, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 610, 758, 702
• GCD of 218, 304, 656, 758
• GCD of 522, 515, 533, 826
• GCD of 419, 790, 291, 620
• GCD of 191, 283, 989, 411

Given numbers are 560, 144, 533, 107
The greatest common divisor of numbers 560, 144, 533, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 144, 533, 107 is 1.

1. What is the GCD of 560, 144, 533, 107?

GCD of given numbers 560, 144, 533, 107 is 1

2. How to calculate the greatest common divisor of 560, 144, 533, 107?

We can find the highest common divisor of 560, 144, 533, 107 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 560, 144, 533, 107 i.e 1.

3. How can I use the GCD of 560, 144, 533, 107Calculator?

Out the numbers 560, 144, 533, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.