GCD of 948, 840, 282 Calculator

Given Input numbers are 948, 840, 282

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 948, 840, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 840, 282 is 6.

Therefore, GCD of numbers 948, 840, 282 is 6

Given Input Data is 948, 840, 282

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 282 is 2 x 3 x 47

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(948, 840) = 66360

GCD(948, 840) = ( 948 x 840 ) / 66360

GCD(948, 840) = 796320 / 66360

GCD(948, 840) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 282

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

LCM(12, 282) = 564

GCD(12, 282) = ( 12 x 282 ) / 564

GCD(12, 282) = 3384 / 564

GCD(12, 282) = 6

GCD of 948, 840, 282 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 283, 822
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• GCD of 316, 643, 120
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1. What is the GCD of 948, 840, 282?

GCD of 948, 840, 282 is 6

2. Where do I get the detailed procedure to find GCD of 948, 840, 282?

You can find a detailed procedure to find GCD of 948, 840, 282 on our page.

3. How to find GCD of 948, 840, 282 on a calculator?

You can find the GCD of 948, 840, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.