GCD of 472, 676, 192, 948 Calculator

Given Input numbers are 472, 676, 192, 948

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

Greatest Common Divisior

We found the divisors of 472, 676, 192, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 676, 192, 948 is 4.

Therefore, GCD of numbers 472, 676, 192, 948 is 4

Given Input Data is 472, 676, 192, 948

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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(472, 676) = 79768

GCD(472, 676) = ( 472 x 676 ) / 79768

GCD(472, 676) = 319072 / 79768

GCD(472, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 192

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

LCM(4, 192) = 192

GCD(4, 192) = ( 4 x 192 ) / 192

GCD(4, 192) = 768 / 192

GCD(4, 192) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 948

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

LCM(4, 948) = 948

GCD(4, 948) = ( 4 x 948 ) / 948

GCD(4, 948) = 3792 / 948

GCD(4, 948) = 4

GCD of 472, 676, 192, 948 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 276, 852, 451
• GCD of 779, 821, 975, 700
• GCD of 707, 751, 318, 744
• GCD of 800, 501, 388, 288
• GCD of 614, 948, 640, 702

1. What is the GCD of 472, 676, 192, 948?

GCD of 472, 676, 192, 948 is 4

2. Where do I get the detailed procedure to find GCD of 472, 676, 192, 948?

You can find a detailed procedure to find GCD of 472, 676, 192, 948 on our page.

3. How to find GCD of 472, 676, 192, 948 on a calculator?

You can find the GCD of 472, 676, 192, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.