GCD of 310, 546, 112, 480 Calculator

Given Input numbers are 310, 546, 112, 480

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 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

GCD of numbers is the greatest common divisor

So, the GCD (310, 546, 112, 480) = 2.

Given numbers are 310, 546, 112, 480

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 546 are 2 x 3 x 7 x 13

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

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

The highest common occurrence is 2¹

Therefore, GCD of 310, 546, 112, 480 is 2.

Given numbers are 310, 546, 112, 480

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

Apply this formula for all numbers.

Step1:

LCM(310, 546) = 84630

GCD(310, 546) = ( 310 x 546 ) / 84630

= 310 / 546

= 310

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 310, 546, 112, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 658, 846, 442
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• GCD of 634, 965, 963, 473

Given numbers are 310, 546, 112, 480
The greatest common divisor of numbers 310, 546, 112, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 546, 112, 480 is 2.

1. What is the GCD of 310, 546, 112, 480?

GCD of given numbers 310, 546, 112, 480 is 2

2. How to calculate the greatest common divisor of 310, 546, 112, 480?

We can find the highest common divisor of 310, 546, 112, 480 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 310, 546, 112, 480 i.e 2.

3. How can I use the GCD of 310, 546, 112, 480Calculator?

Out the numbers 310, 546, 112, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.