GCD of 560, 706, 24, 277 Calculator

Given Input numbers are 560, 706, 24, 277

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 560, 706, 24, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 706, 24, 277 is 1.

Therefore, GCD of numbers 560, 706, 24, 277 is 1

Given Input Data is 560, 706, 24, 277

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 706 is 2 x 353

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 277 is 277

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, 706) = 197680

GCD(560, 706) = ( 560 x 706 ) / 197680

GCD(560, 706) = 395360 / 197680

GCD(560, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 277

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

LCM(2, 277) = 554

GCD(2, 277) = ( 2 x 277 ) / 554

GCD(2, 277) = 554 / 554

GCD(2, 277) = 1

GCD of 560, 706, 24, 277 is 1

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• GCD of 240, 591, 89, 574
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1. What is the GCD of 560, 706, 24, 277?

GCD of 560, 706, 24, 277 is 1

2. Where do I get the detailed procedure to find GCD of 560, 706, 24, 277?

You can find a detailed procedure to find GCD of 560, 706, 24, 277 on our page.

3. How to find GCD of 560, 706, 24, 277 on a calculator?

You can find the GCD of 560, 706, 24, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.