GCD of 40, 784, 168, 938 Calculator

Given Input numbers are 40, 784, 168, 938

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 40, 784, 168, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 784, 168, 938 is 2.

Therefore, GCD of numbers 40, 784, 168, 938 is 2

Given Input Data is 40, 784, 168, 938

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 938 is 2 x 7 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, 784) = 3920

GCD(40, 784) = ( 40 x 784 ) / 3920

GCD(40, 784) = 31360 / 3920

GCD(40, 784) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 168

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

LCM(8, 168) = 168

GCD(8, 168) = ( 8 x 168 ) / 168

GCD(8, 168) = 1344 / 168

GCD(8, 168) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 938

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

LCM(8, 938) = 3752

GCD(8, 938) = ( 8 x 938 ) / 3752

GCD(8, 938) = 7504 / 3752

GCD(8, 938) = 2

GCD of 40, 784, 168, 938 is 2

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• GCD of 23, 790, 898, 533
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1. What is the GCD of 40, 784, 168, 938?

GCD of 40, 784, 168, 938 is 2

2. Where do I get the detailed procedure to find GCD of 40, 784, 168, 938?

You can find a detailed procedure to find GCD of 40, 784, 168, 938 on our page.

3. How to find GCD of 40, 784, 168, 938 on a calculator?

You can find the GCD of 40, 784, 168, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.