GCD of 772, 112, 887, 348 Calculator

Given Input numbers are 772, 112, 887, 348

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 772, 112, 887, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 112, 887, 348 is 1.

Therefore, GCD of numbers 772, 112, 887, 348 is 1

Given Input Data is 772, 112, 887, 348

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

Prime Factorization of 772 is 2 x 2 x 193

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

Prime Factorization of 887 is 887

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(772, 112) = 21616

GCD(772, 112) = ( 772 x 112 ) / 21616

GCD(772, 112) = 86464 / 21616

GCD(772, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 887

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

LCM(4, 887) = 3548

GCD(4, 887) = ( 4 x 887 ) / 3548

GCD(4, 887) = 3548 / 3548

GCD(4, 887) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 772, 112, 887, 348 is 1

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1. What is the GCD of 772, 112, 887, 348?

GCD of 772, 112, 887, 348 is 1

2. Where do I get the detailed procedure to find GCD of 772, 112, 887, 348?

You can find a detailed procedure to find GCD of 772, 112, 887, 348 on our page.

3. How to find GCD of 772, 112, 887, 348 on a calculator?

You can find the GCD of 772, 112, 887, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.