GCD of 542, 932, 83, 896 Calculator

Given Input numbers are 542, 932, 83, 896

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 542, 932, 83, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 932, 83, 896 is 1.

Therefore, GCD of numbers 542, 932, 83, 896 is 1

Given Input Data is 542, 932, 83, 896

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 83 is 83

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(542, 932) = 252572

GCD(542, 932) = ( 542 x 932 ) / 252572

GCD(542, 932) = 505144 / 252572

GCD(542, 932) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 542, 932, 83, 896 is 1

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1. What is the GCD of 542, 932, 83, 896?

GCD of 542, 932, 83, 896 is 1

2. Where do I get the detailed procedure to find GCD of 542, 932, 83, 896?

You can find a detailed procedure to find GCD of 542, 932, 83, 896 on our page.

3. How to find GCD of 542, 932, 83, 896 on a calculator?

You can find the GCD of 542, 932, 83, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.