GCD of 712, 871, 456, 828 Calculator

Given Input numbers are 712, 871, 456, 828

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

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 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 712, 871, 456, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 871, 456, 828 is 1.

Therefore, GCD of numbers 712, 871, 456, 828 is 1

Given Input Data is 712, 871, 456, 828

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

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

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(712, 871) = 620152

GCD(712, 871) = ( 712 x 871 ) / 620152

GCD(712, 871) = 620152 / 620152

GCD(712, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 712, 871, 456, 828 is 1

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1. What is the GCD of 712, 871, 456, 828?

GCD of 712, 871, 456, 828 is 1

2. Where do I get the detailed procedure to find GCD of 712, 871, 456, 828?

You can find a detailed procedure to find GCD of 712, 871, 456, 828 on our page.

3. How to find GCD of 712, 871, 456, 828 on a calculator?

You can find the GCD of 712, 871, 456, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.