GCD of 476, 840, 952 Calculator

Given Input numbers are 476, 840, 952

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 476, 840, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 840, 952 is 28.

Therefore, GCD of numbers 476, 840, 952 is 28

Given Input Data is 476, 840, 952

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Highest common occurrences in the given inputs are 2² x 7¹

Multiplying them we get the GCD as 28

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(476, 840) = 14280

GCD(476, 840) = ( 476 x 840 ) / 14280

GCD(476, 840) = 399840 / 14280

GCD(476, 840) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 952

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

LCM(28, 952) = 952

GCD(28, 952) = ( 28 x 952 ) / 952

GCD(28, 952) = 26656 / 952

GCD(28, 952) = 28

GCD of 476, 840, 952 is 28

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1. What is the GCD of 476, 840, 952?

GCD of 476, 840, 952 is 28

2. Where do I get the detailed procedure to find GCD of 476, 840, 952?

You can find a detailed procedure to find GCD of 476, 840, 952 on our page.

3. How to find GCD of 476, 840, 952 on a calculator?

You can find the GCD of 476, 840, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.