GCD of 767, 416, 176, 546 Calculator

Given Input numbers are 767, 416, 176, 546

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 767, 416, 176, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 416, 176, 546 is 1.

Therefore, GCD of numbers 767, 416, 176, 546 is 1

Given Input Data is 767, 416, 176, 546

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(767, 416) = 24544

GCD(767, 416) = ( 767 x 416 ) / 24544

GCD(767, 416) = 319072 / 24544

GCD(767, 416) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 176

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

LCM(13, 176) = 2288

GCD(13, 176) = ( 13 x 176 ) / 2288

GCD(13, 176) = 2288 / 2288

GCD(13, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 767, 416, 176, 546 is 1

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1. What is the GCD of 767, 416, 176, 546?

GCD of 767, 416, 176, 546 is 1

2. Where do I get the detailed procedure to find GCD of 767, 416, 176, 546?

You can find a detailed procedure to find GCD of 767, 416, 176, 546 on our page.

3. How to find GCD of 767, 416, 176, 546 on a calculator?

You can find the GCD of 767, 416, 176, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.