GCD of 560, 176, 747, 546 Calculator

Given Input numbers are 560, 176, 747, 546

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 560, 176, 747, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 176, 747, 546 is 1.

Therefore, GCD of numbers 560, 176, 747, 546 is 1

Given Input Data is 560, 176, 747, 546

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 747 is 3 x 3 x 83

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(560, 176) = 6160

GCD(560, 176) = ( 560 x 176 ) / 6160

GCD(560, 176) = 98560 / 6160

GCD(560, 176) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 747

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

LCM(16, 747) = 11952

GCD(16, 747) = ( 16 x 747 ) / 11952

GCD(16, 747) = 11952 / 11952

GCD(16, 747) = 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 560, 176, 747, 546 is 1

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1. What is the GCD of 560, 176, 747, 546?

GCD of 560, 176, 747, 546 is 1

2. Where do I get the detailed procedure to find GCD of 560, 176, 747, 546?

You can find a detailed procedure to find GCD of 560, 176, 747, 546 on our page.

3. How to find GCD of 560, 176, 747, 546 on a calculator?

You can find the GCD of 560, 176, 747, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.