GCD of 832, 976, 416 Calculator

Given Input numbers are 832, 976, 416

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 832, 976, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 976, 416 is 16.

Therefore, GCD of numbers 832, 976, 416 is 16

Given Input Data is 832, 976, 416

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Highest common occurrences in the given inputs are 2⁴

Multiplying them we get the GCD as 16

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(832, 976) = 50752

GCD(832, 976) = ( 832 x 976 ) / 50752

GCD(832, 976) = 812032 / 50752

GCD(832, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 416

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

LCM(16, 416) = 416

GCD(16, 416) = ( 16 x 416 ) / 416

GCD(16, 416) = 6656 / 416

GCD(16, 416) = 16

GCD of 832, 976, 416 is 16

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 786, 454
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1. What is the GCD of 832, 976, 416?

GCD of 832, 976, 416 is 16

2. Where do I get the detailed procedure to find GCD of 832, 976, 416?

You can find a detailed procedure to find GCD of 832, 976, 416 on our page.

3. How to find GCD of 832, 976, 416 on a calculator?

You can find the GCD of 832, 976, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.