GCD of 976, 864, 464, 428 Calculator

Given Input numbers are 976, 864, 464, 428

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

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 976, 864, 464, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 864, 464, 428 is 4.

Therefore, GCD of numbers 976, 864, 464, 428 is 4

Given Input Data is 976, 864, 464, 428

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

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 428 is 2 x 2 x 107

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(976, 864) = 52704

GCD(976, 864) = ( 976 x 864 ) / 52704

GCD(976, 864) = 843264 / 52704

GCD(976, 864) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 464

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

LCM(16, 464) = 464

GCD(16, 464) = ( 16 x 464 ) / 464

GCD(16, 464) = 7424 / 464

GCD(16, 464) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 428

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

LCM(16, 428) = 1712

GCD(16, 428) = ( 16 x 428 ) / 1712

GCD(16, 428) = 6848 / 1712

GCD(16, 428) = 4

GCD of 976, 864, 464, 428 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 282, 834, 692
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• GCD of 278, 651, 531, 865

1. What is the GCD of 976, 864, 464, 428?

GCD of 976, 864, 464, 428 is 4

2. Where do I get the detailed procedure to find GCD of 976, 864, 464, 428?

You can find a detailed procedure to find GCD of 976, 864, 464, 428 on our page.

3. How to find GCD of 976, 864, 464, 428 on a calculator?

You can find the GCD of 976, 864, 464, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.