GCD of 140, 378, 294, 924 Calculator

Given Input numbers are 140, 378, 294, 924

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 140, 378, 294, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 378, 294, 924 is 14.

Therefore, GCD of numbers 140, 378, 294, 924 is 14

Given Input Data is 140, 378, 294, 924

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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(140, 378) = 3780

GCD(140, 378) = ( 140 x 378 ) / 3780

GCD(140, 378) = 52920 / 3780

GCD(140, 378) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 294

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

LCM(14, 294) = 294

GCD(14, 294) = ( 14 x 294 ) / 294

GCD(14, 294) = 4116 / 294

GCD(14, 294) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 924

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

LCM(14, 924) = 924

GCD(14, 924) = ( 14 x 924 ) / 924

GCD(14, 924) = 12936 / 924

GCD(14, 924) = 14

GCD of 140, 378, 294, 924 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 562, 886, 473
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• GCD of 296, 562, 211, 882

1. What is the GCD of 140, 378, 294, 924?

GCD of 140, 378, 294, 924 is 14

2. Where do I get the detailed procedure to find GCD of 140, 378, 294, 924?

You can find a detailed procedure to find GCD of 140, 378, 294, 924 on our page.

3. How to find GCD of 140, 378, 294, 924 on a calculator?

You can find the GCD of 140, 378, 294, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.