GCD of 112, 307, 563, 960 Calculator

Given Input numbers are 112, 307, 563, 960

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 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (112, 307, 563, 960) = 1.

Given numbers are 112, 307, 563, 960

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 307 are 307

Prime factors of 563 are 563

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 112, 307, 563, 960

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

Apply this formula for all numbers.

Step1:

LCM(112, 307) = 34384

GCD(112, 307) = ( 112 x 307 ) / 34384

= 112 / 307

= 112

Step2:

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

= 1 / 563

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 112, 307, 563, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 264, 370, 109
• GCD of 101, 631, 311, 506
• GCD of 839, 492, 543, 143
• GCD of 197, 380, 233, 991
• GCD of 381, 622, 634, 939

Given numbers are 112, 307, 563, 960
The greatest common divisor of numbers 112, 307, 563, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 307, 563, 960 is 1.

1. What is the GCD of 112, 307, 563, 960?

GCD of given numbers 112, 307, 563, 960 is 1

2. How to calculate the greatest common divisor of 112, 307, 563, 960?

We can find the highest common divisor of 112, 307, 563, 960 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, 307, 563, 960 i.e 1.

3. How can I use the GCD of 112, 307, 563, 960Calculator?

Out the numbers 112, 307, 563, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.