GCD of 544, 177, 676, 758 Calculator

Given Input numbers are 544, 177, 676, 758

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 544, 177, 676, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 177, 676, 758 is 1.

Therefore, GCD of numbers 544, 177, 676, 758 is 1

Given Input Data is 544, 177, 676, 758

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 177 is 3 x 59

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 758 is 2 x 379

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(544, 177) = 96288

GCD(544, 177) = ( 544 x 177 ) / 96288

GCD(544, 177) = 96288 / 96288

GCD(544, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 544, 177, 676, 758 is 1

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1. What is the GCD of 544, 177, 676, 758?

GCD of 544, 177, 676, 758 is 1

2. Where do I get the detailed procedure to find GCD of 544, 177, 676, 758?

You can find a detailed procedure to find GCD of 544, 177, 676, 758 on our page.

3. How to find GCD of 544, 177, 676, 758 on a calculator?

You can find the GCD of 544, 177, 676, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.