GCD of 167, 448, 782 Calculator

Given Input numbers are 167, 448, 782

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

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 167, 448, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 167, 448, 782 is 1.

Therefore, GCD of numbers 167, 448, 782 is 1

Given Input Data is 167, 448, 782

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

Prime Factorization of 167 is 167

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 782 is 2 x 17 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(167, 448) = 74816

GCD(167, 448) = ( 167 x 448 ) / 74816

GCD(167, 448) = 74816 / 74816

GCD(167, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 167, 448, 782 is 1

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1. What is the GCD of 167, 448, 782?

GCD of 167, 448, 782 is 1

2. Where do I get the detailed procedure to find GCD of 167, 448, 782?

You can find a detailed procedure to find GCD of 167, 448, 782 on our page.

3. How to find GCD of 167, 448, 782 on a calculator?

You can find the GCD of 167, 448, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.