GCD of 498, 562, 34, 693 Calculator

Given Input numbers are 498, 562, 34, 693

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

Divisors of 498

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

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 498, 562, 34, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 562, 34, 693 is 1.

Therefore, GCD of numbers 498, 562, 34, 693 is 1

Given Input Data is 498, 562, 34, 693

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 562 is 2 x 281

Prime Factorization of 34 is 2 x 17

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(498, 562) = 139938

GCD(498, 562) = ( 498 x 562 ) / 139938

GCD(498, 562) = 279876 / 139938

GCD(498, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 498, 562, 34, 693 is 1

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• GCD of 804, 195, 42, 694
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1. What is the GCD of 498, 562, 34, 693?

GCD of 498, 562, 34, 693 is 1

2. Where do I get the detailed procedure to find GCD of 498, 562, 34, 693?

You can find a detailed procedure to find GCD of 498, 562, 34, 693 on our page.

3. How to find GCD of 498, 562, 34, 693 on a calculator?

You can find the GCD of 498, 562, 34, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.