GCD of 40, 792, 384, 670 Calculator

Given Input numbers are 40, 792, 384, 670

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 40, 792, 384, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 792, 384, 670 is 2.

Therefore, GCD of numbers 40, 792, 384, 670 is 2

Given Input Data is 40, 792, 384, 670

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 670 is 2 x 5 x 67

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(40, 792) = 3960

GCD(40, 792) = ( 40 x 792 ) / 3960

GCD(40, 792) = 31680 / 3960

GCD(40, 792) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 384

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

LCM(8, 384) = 384

GCD(8, 384) = ( 8 x 384 ) / 384

GCD(8, 384) = 3072 / 384

GCD(8, 384) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 670

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

LCM(8, 670) = 2680

GCD(8, 670) = ( 8 x 670 ) / 2680

GCD(8, 670) = 5360 / 2680

GCD(8, 670) = 2

GCD of 40, 792, 384, 670 is 2

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1. What is the GCD of 40, 792, 384, 670?

GCD of 40, 792, 384, 670 is 2

2. Where do I get the detailed procedure to find GCD of 40, 792, 384, 670?

You can find a detailed procedure to find GCD of 40, 792, 384, 670 on our page.

3. How to find GCD of 40, 792, 384, 670 on a calculator?

You can find the GCD of 40, 792, 384, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.