GCD of 316, 480, 10, 752 Calculator

Given Input numbers are 316, 480, 10, 752

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

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

Greatest Common Divisior

We found the divisors of 316, 480, 10, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 480, 10, 752 is 2.

Therefore, GCD of numbers 316, 480, 10, 752 is 2

Given Input Data is 316, 480, 10, 752

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(316, 480) = 37920

GCD(316, 480) = ( 316 x 480 ) / 37920

GCD(316, 480) = 151680 / 37920

GCD(316, 480) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 316, 480, 10, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 977, 10, 327
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• GCD of 356, 426, 13, 726
• GCD of 696, 646, 74, 155

1. What is the GCD of 316, 480, 10, 752?

GCD of 316, 480, 10, 752 is 2

2. Where do I get the detailed procedure to find GCD of 316, 480, 10, 752?

You can find a detailed procedure to find GCD of 316, 480, 10, 752 on our page.

3. How to find GCD of 316, 480, 10, 752 on a calculator?

You can find the GCD of 316, 480, 10, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.