GCD of 112, 560, 908, 572 Calculator

Given Input numbers are 112, 560, 908, 572

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (112, 560, 908, 572) = 4.

Given numbers are 112, 560, 908, 572

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2²

Therefore, GCD of 112, 560, 908, 572 is 4.

Given numbers are 112, 560, 908, 572

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

Apply this formula for all numbers.

Step1:

LCM(112, 560) = 560

GCD(112, 560) = ( 112 x 560 ) / 560

= 112 / 560

= 112

Step2:

LCM(112, 908) = 25424

GCD(112, 908) = ( 112 x 908 ) / 25424

= 112 / 908

= 112

Step3:

LCM(4, 572) = 572

GCD(4, 572) = ( 4 x 572 ) / 572

= 4 / 572

= 4

So, Greatest Common Divisor of 112, 560, 908, 572 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 625, 496, 807
• GCD of 544, 247, 235, 884
• GCD of 437, 596, 848, 440
• GCD of 150, 561, 550, 575
• GCD of 333, 989, 339, 810

Given numbers are 112, 560, 908, 572
The greatest common divisor of numbers 112, 560, 908, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 560, 908, 572 is 4.

1. What is the GCD of 112, 560, 908, 572?

GCD of given numbers 112, 560, 908, 572 is 4

2. How to calculate the greatest common divisor of 112, 560, 908, 572?

We can find the highest common divisor of 112, 560, 908, 572 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 112, 560, 908, 572 i.e 4.

3. How can I use the GCD of 112, 560, 908, 572Calculator?

Out the numbers 112, 560, 908, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.