GCD of 700, 310, 240, 390 Calculator

Given Input numbers are 700, 310, 240, 390

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 700, 310, 240, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 310, 240, 390 is 10.

Therefore, GCD of numbers 700, 310, 240, 390 is 10

Given Input Data is 700, 310, 240, 390

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 310 is 2 x 5 x 31

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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, 310) = 21700

GCD(700, 310) = ( 700 x 310 ) / 21700

GCD(700, 310) = 217000 / 21700

GCD(700, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 240

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

LCM(10, 240) = 240

GCD(10, 240) = ( 10 x 240 ) / 240

GCD(10, 240) = 2400 / 240

GCD(10, 240) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 390

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

LCM(10, 390) = 390

GCD(10, 390) = ( 10 x 390 ) / 390

GCD(10, 390) = 3900 / 390

GCD(10, 390) = 10

GCD of 700, 310, 240, 390 is 10

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1. What is the GCD of 700, 310, 240, 390?

GCD of 700, 310, 240, 390 is 10

2. Where do I get the detailed procedure to find GCD of 700, 310, 240, 390?

You can find a detailed procedure to find GCD of 700, 310, 240, 390 on our page.

3. How to find GCD of 700, 310, 240, 390 on a calculator?

You can find the GCD of 700, 310, 240, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.