GCD of 336, 700, 19, 428 Calculator

Given Input numbers are 336, 700, 19, 428

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 336, 700, 19, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 700, 19, 428 is 1.

Therefore, GCD of numbers 336, 700, 19, 428 is 1

Given Input Data is 336, 700, 19, 428

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 19 is 19

Prime Factorization of 428 is 2 x 2 x 107

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(336, 700) = 8400

GCD(336, 700) = ( 336 x 700 ) / 8400

GCD(336, 700) = 235200 / 8400

GCD(336, 700) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 19

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

LCM(28, 19) = 532

GCD(28, 19) = ( 28 x 19 ) / 532

GCD(28, 19) = 532 / 532

GCD(28, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 336, 700, 19, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 882, 90, 883
• GCD of 875, 846, 99, 244
• GCD of 931, 334, 59, 516
• GCD of 202, 580, 44, 528
• GCD of 581, 437, 41, 738

1. What is the GCD of 336, 700, 19, 428?

GCD of 336, 700, 19, 428 is 1

2. Where do I get the detailed procedure to find GCD of 336, 700, 19, 428?

You can find a detailed procedure to find GCD of 336, 700, 19, 428 on our page.

3. How to find GCD of 336, 700, 19, 428 on a calculator?

You can find the GCD of 336, 700, 19, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.