GCD of 700, 530, 24, 338 Calculator

Given Input numbers are 700, 530, 24, 338

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

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 700, 530, 24, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 530, 24, 338 is 2.

Therefore, GCD of numbers 700, 530, 24, 338 is 2

Given Input Data is 700, 530, 24, 338

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

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 338 is 2 x 13 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(700, 530) = 37100

GCD(700, 530) = ( 700 x 530 ) / 37100

GCD(700, 530) = 371000 / 37100

GCD(700, 530) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 24

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

LCM(10, 24) = 120

GCD(10, 24) = ( 10 x 24 ) / 120

GCD(10, 24) = 240 / 120

GCD(10, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 700, 530, 24, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 382, 76, 547
• GCD of 843, 965, 10, 252
• GCD of 487, 217, 70, 952
• GCD of 192, 602, 86, 347
• GCD of 649, 390, 31, 982

1. What is the GCD of 700, 530, 24, 338?

GCD of 700, 530, 24, 338 is 2

2. Where do I get the detailed procedure to find GCD of 700, 530, 24, 338?

You can find a detailed procedure to find GCD of 700, 530, 24, 338 on our page.

3. How to find GCD of 700, 530, 24, 338 on a calculator?

You can find the GCD of 700, 530, 24, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.