GCD of 370, 700, 38, 312 Calculator

Given Input numbers are 370, 700, 38, 312

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 370, 700, 38, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 700, 38, 312 is 2.

Therefore, GCD of numbers 370, 700, 38, 312 is 2

Given Input Data is 370, 700, 38, 312

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

Prime Factorization of 370 is 2 x 5 x 37

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(370, 700) = 25900

GCD(370, 700) = ( 370 x 700 ) / 25900

GCD(370, 700) = 259000 / 25900

GCD(370, 700) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 38

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

LCM(10, 38) = 190

GCD(10, 38) = ( 10 x 38 ) / 190

GCD(10, 38) = 380 / 190

GCD(10, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 370, 700, 38, 312 is 2

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• GCD of 572, 494, 89, 269
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1. What is the GCD of 370, 700, 38, 312?

GCD of 370, 700, 38, 312 is 2

2. Where do I get the detailed procedure to find GCD of 370, 700, 38, 312?

You can find a detailed procedure to find GCD of 370, 700, 38, 312 on our page.

3. How to find GCD of 370, 700, 38, 312 on a calculator?

You can find the GCD of 370, 700, 38, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.