GCD of 308, 502, 749, 643 Calculator

Given Input numbers are 308, 502, 749, 643

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 308, 502, 749, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 502, 749, 643 is 1.

Therefore, GCD of numbers 308, 502, 749, 643 is 1

Given Input Data is 308, 502, 749, 643

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 502 is 2 x 251

Prime Factorization of 749 is 7 x 107

Prime Factorization of 643 is 643

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(308, 502) = 77308

GCD(308, 502) = ( 308 x 502 ) / 77308

GCD(308, 502) = 154616 / 77308

GCD(308, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 308, 502, 749, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 570, 757, 442
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• GCD of 644, 331, 215, 866
• GCD of 841, 684, 566, 376

1. What is the GCD of 308, 502, 749, 643?

GCD of 308, 502, 749, 643 is 1

2. Where do I get the detailed procedure to find GCD of 308, 502, 749, 643?

You can find a detailed procedure to find GCD of 308, 502, 749, 643 on our page.

3. How to find GCD of 308, 502, 749, 643 on a calculator?

You can find the GCD of 308, 502, 749, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.