GCD of 560, 956, 635, 498 Calculator

Given Input numbers are 560, 956, 635, 498

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 560, 956, 635, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 956, 635, 498 is 1.

Therefore, GCD of numbers 560, 956, 635, 498 is 1

Given Input Data is 560, 956, 635, 498

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 956 is 2 x 2 x 239

Prime Factorization of 635 is 5 x 127

Prime Factorization of 498 is 2 x 3 x 83

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, 956) = 133840

GCD(560, 956) = ( 560 x 956 ) / 133840

GCD(560, 956) = 535360 / 133840

GCD(560, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 635

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

LCM(4, 635) = 2540

GCD(4, 635) = ( 4 x 635 ) / 2540

GCD(4, 635) = 2540 / 2540

GCD(4, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 560, 956, 635, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 461, 947, 759
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• GCD of 495, 332, 537, 710

1. What is the GCD of 560, 956, 635, 498?

GCD of 560, 956, 635, 498 is 1

2. Where do I get the detailed procedure to find GCD of 560, 956, 635, 498?

You can find a detailed procedure to find GCD of 560, 956, 635, 498 on our page.

3. How to find GCD of 560, 956, 635, 498 on a calculator?

You can find the GCD of 560, 956, 635, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.