GCD of 96, 492, 712, 530 Calculator

Given Input numbers are 96, 492, 712, 530

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 96, 492, 712, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 492, 712, 530 is 2.

Therefore, GCD of numbers 96, 492, 712, 530 is 2

Given Input Data is 96, 492, 712, 530

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 530 is 2 x 5 x 53

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(96, 492) = 3936

GCD(96, 492) = ( 96 x 492 ) / 3936

GCD(96, 492) = 47232 / 3936

GCD(96, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 712

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

LCM(12, 712) = 2136

GCD(12, 712) = ( 12 x 712 ) / 2136

GCD(12, 712) = 8544 / 2136

GCD(12, 712) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 530

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

LCM(4, 530) = 1060

GCD(4, 530) = ( 4 x 530 ) / 1060

GCD(4, 530) = 2120 / 1060

GCD(4, 530) = 2

GCD of 96, 492, 712, 530 is 2

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• GCD of 80, 599, 823, 508
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• GCD of 73, 346, 363, 569

1. What is the GCD of 96, 492, 712, 530?

GCD of 96, 492, 712, 530 is 2

2. Where do I get the detailed procedure to find GCD of 96, 492, 712, 530?

You can find a detailed procedure to find GCD of 96, 492, 712, 530 on our page.

3. How to find GCD of 96, 492, 712, 530 on a calculator?

You can find the GCD of 96, 492, 712, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.