GCD of 112, 787, 69, 527 Calculator

Given Input numbers are 112, 787, 69, 527

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 112, 787, 69, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 787, 69, 527 is 1.

Therefore, GCD of numbers 112, 787, 69, 527 is 1

Given Input Data is 112, 787, 69, 527

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 787 is 787

Prime Factorization of 69 is 3 x 23

Prime Factorization of 527 is 17 x 31

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(112, 787) = 88144

GCD(112, 787) = ( 112 x 787 ) / 88144

GCD(112, 787) = 88144 / 88144

GCD(112, 787) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 112, 787, 69, 527 is 1

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1. What is the GCD of 112, 787, 69, 527?

GCD of 112, 787, 69, 527 is 1

2. Where do I get the detailed procedure to find GCD of 112, 787, 69, 527?

You can find a detailed procedure to find GCD of 112, 787, 69, 527 on our page.

3. How to find GCD of 112, 787, 69, 527 on a calculator?

You can find the GCD of 112, 787, 69, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.