GCD of 314, 870, 640, 372 Calculator

Given Input numbers are 314, 870, 640, 372

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 314, 870, 640, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 870, 640, 372 is 2.

Therefore, GCD of numbers 314, 870, 640, 372 is 2

Given Input Data is 314, 870, 640, 372

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(314, 870) = 136590

GCD(314, 870) = ( 314 x 870 ) / 136590

GCD(314, 870) = 273180 / 136590

GCD(314, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 372

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

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

GCD(2, 372) = 744 / 372

GCD(2, 372) = 2

GCD of 314, 870, 640, 372 is 2

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1. What is the GCD of 314, 870, 640, 372?

GCD of 314, 870, 640, 372 is 2

2. Where do I get the detailed procedure to find GCD of 314, 870, 640, 372?

You can find a detailed procedure to find GCD of 314, 870, 640, 372 on our page.

3. How to find GCD of 314, 870, 640, 372 on a calculator?

You can find the GCD of 314, 870, 640, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.