GCD of 476, 972, 416 Calculator

Given Input numbers are 476, 972, 416

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 476, 972, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 972, 416 is 4.

Therefore, GCD of numbers 476, 972, 416 is 4

Given Input Data is 476, 972, 416

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(476, 972) = 115668

GCD(476, 972) = ( 476 x 972 ) / 115668

GCD(476, 972) = 462672 / 115668

GCD(476, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 416

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

LCM(4, 416) = 416

GCD(4, 416) = ( 4 x 416 ) / 416

GCD(4, 416) = 1664 / 416

GCD(4, 416) = 4

GCD of 476, 972, 416 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 233, 970
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• GCD of 208, 199, 266
• GCD of 464, 793, 132

1. What is the GCD of 476, 972, 416?

GCD of 476, 972, 416 is 4

2. Where do I get the detailed procedure to find GCD of 476, 972, 416?

You can find a detailed procedure to find GCD of 476, 972, 416 on our page.

3. How to find GCD of 476, 972, 416 on a calculator?

You can find the GCD of 476, 972, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.