GCD of 712, 100, 43, 462 Calculator

Given Input numbers are 712, 100, 43, 462

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 712, 100, 43, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 100, 43, 462 is 1.

Therefore, GCD of numbers 712, 100, 43, 462 is 1

Given Input Data is 712, 100, 43, 462

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 43 is 43

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 100) = 17800

GCD(712, 100) = ( 712 x 100 ) / 17800

GCD(712, 100) = 71200 / 17800

GCD(712, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 43

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

LCM(4, 43) = 172

GCD(4, 43) = ( 4 x 43 ) / 172

GCD(4, 43) = 172 / 172

GCD(4, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 712, 100, 43, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 243, 47, 653
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• GCD of 180, 599, 50, 524
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• GCD of 790, 932, 20, 904

1. What is the GCD of 712, 100, 43, 462?

GCD of 712, 100, 43, 462 is 1

2. Where do I get the detailed procedure to find GCD of 712, 100, 43, 462?

You can find a detailed procedure to find GCD of 712, 100, 43, 462 on our page.

3. How to find GCD of 712, 100, 43, 462 on a calculator?

You can find the GCD of 712, 100, 43, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.