GCD of 940, 640, 84, 292 Calculator

Given Input numbers are 940, 640, 84, 292

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 940, 640, 84, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 640, 84, 292 is 4.

Therefore, GCD of numbers 940, 640, 84, 292 is 4

Given Input Data is 940, 640, 84, 292

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 292 is 2 x 2 x 73

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(940, 640) = 30080

GCD(940, 640) = ( 940 x 640 ) / 30080

GCD(940, 640) = 601600 / 30080

GCD(940, 640) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 84

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

LCM(20, 84) = 420

GCD(20, 84) = ( 20 x 84 ) / 420

GCD(20, 84) = 1680 / 420

GCD(20, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 292

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

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

GCD(4, 292) = 1168 / 292

GCD(4, 292) = 4

GCD of 940, 640, 84, 292 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 948, 62, 926
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• GCD of 774, 213, 68, 135

1. What is the GCD of 940, 640, 84, 292?

GCD of 940, 640, 84, 292 is 4

2. Where do I get the detailed procedure to find GCD of 940, 640, 84, 292?

You can find a detailed procedure to find GCD of 940, 640, 84, 292 on our page.

3. How to find GCD of 940, 640, 84, 292 on a calculator?

You can find the GCD of 940, 640, 84, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.