GCD of 480, 975, 752, 112 Calculator

Given Input numbers are 480, 975, 752, 112

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (480, 975, 752, 112) = 1.

Given numbers are 480, 975, 752, 112

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

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

Given numbers are 480, 975, 752, 112

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

Apply this formula for all numbers.

Step1:

LCM(480, 975) = 31200

GCD(480, 975) = ( 480 x 975 ) / 31200

= 480 / 975

= 480

Step2:

LCM(15, 752) = 11280

GCD(15, 752) = ( 15 x 752 ) / 11280

= 15 / 752

= 15

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 480, 975, 752, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 153, 879, 775
• GCD of 956, 120, 211, 745
• GCD of 903, 515, 860, 401
• GCD of 727, 552, 943, 671
• GCD of 864, 767, 640, 658

Given numbers are 480, 975, 752, 112
The greatest common divisor of numbers 480, 975, 752, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 975, 752, 112 is 1.

1. What is the GCD of 480, 975, 752, 112?

GCD of given numbers 480, 975, 752, 112 is 1

2. How to calculate the greatest common divisor of 480, 975, 752, 112?

We can find the highest common divisor of 480, 975, 752, 112 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 480, 975, 752, 112 i.e 1.

3. How can I use the GCD of 480, 975, 752, 112Calculator?

Out the numbers 480, 975, 752, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.