GCD of 428, 560, 39, 545 Calculator

Given Input numbers are 428, 560, 39, 545

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 428, 560, 39, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 560, 39, 545 is 1.

Therefore, GCD of numbers 428, 560, 39, 545 is 1

Given Input Data is 428, 560, 39, 545

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 545 is 5 x 109

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(428, 560) = 59920

GCD(428, 560) = ( 428 x 560 ) / 59920

GCD(428, 560) = 239680 / 59920

GCD(428, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 428, 560, 39, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 879, 71, 456
• GCD of 102, 176, 58, 884
• GCD of 197, 480, 22, 699
• GCD of 373, 624, 63, 919
• GCD of 317, 279, 51, 882

1. What is the GCD of 428, 560, 39, 545?

GCD of 428, 560, 39, 545 is 1

2. Where do I get the detailed procedure to find GCD of 428, 560, 39, 545?

You can find a detailed procedure to find GCD of 428, 560, 39, 545 on our page.

3. How to find GCD of 428, 560, 39, 545 on a calculator?

You can find the GCD of 428, 560, 39, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.