GCD of 340, 998, 624 Calculator

Given Input numbers are 340, 998, 624

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 340, 998, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 998, 624 is 2.

Therefore, GCD of numbers 340, 998, 624 is 2

Given Input Data is 340, 998, 624

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 998 is 2 x 499

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(340, 998) = 169660

GCD(340, 998) = ( 340 x 998 ) / 169660

GCD(340, 998) = 339320 / 169660

GCD(340, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 340, 998, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 618, 580
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• GCD of 632, 106, 172
• GCD of 380, 889, 604
• GCD of 471, 436, 686

1. What is the GCD of 340, 998, 624?

GCD of 340, 998, 624 is 2

2. Where do I get the detailed procedure to find GCD of 340, 998, 624?

You can find a detailed procedure to find GCD of 340, 998, 624 on our page.

3. How to find GCD of 340, 998, 624 on a calculator?

You can find the GCD of 340, 998, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.