GCD of 50, 126, 323, 688 Calculator

Given Input numbers are 50, 126, 323, 688

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 50, 126, 323, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 126, 323, 688 is 1.

Therefore, GCD of numbers 50, 126, 323, 688 is 1

Given Input Data is 50, 126, 323, 688

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 323 is 17 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(50, 126) = 3150

GCD(50, 126) = ( 50 x 126 ) / 3150

GCD(50, 126) = 6300 / 3150

GCD(50, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 50, 126, 323, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 720, 719, 509
• GCD of 35, 148, 690, 161
• GCD of 90, 900, 225, 661
• GCD of 90, 826, 968, 990
• GCD of 18, 841, 712, 521

1. What is the GCD of 50, 126, 323, 688?

GCD of 50, 126, 323, 688 is 1

2. Where do I get the detailed procedure to find GCD of 50, 126, 323, 688?

You can find a detailed procedure to find GCD of 50, 126, 323, 688 on our page.

3. How to find GCD of 50, 126, 323, 688 on a calculator?

You can find the GCD of 50, 126, 323, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.