GCD of 745, 491, 546, 176 Calculator

Given Input numbers are 745, 491, 546, 176

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

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

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

Greatest Common Divisior

We found the divisors of 745, 491, 546, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 491, 546, 176 is 1.

Therefore, GCD of numbers 745, 491, 546, 176 is 1

Given Input Data is 745, 491, 546, 176

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 491 is 491

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

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

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(745, 491) = 365795

GCD(745, 491) = ( 745 x 491 ) / 365795

GCD(745, 491) = 365795 / 365795

GCD(745, 491) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 745, 491, 546, 176 is 1

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• GCD of 484, 298, 196, 205
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1. What is the GCD of 745, 491, 546, 176?

GCD of 745, 491, 546, 176 is 1

2. Where do I get the detailed procedure to find GCD of 745, 491, 546, 176?

You can find a detailed procedure to find GCD of 745, 491, 546, 176 on our page.

3. How to find GCD of 745, 491, 546, 176 on a calculator?

You can find the GCD of 745, 491, 546, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.