GCD of 948, 488, 766 Calculator

Given Input numbers are 948, 488, 766

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

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 948, 488, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 488, 766 is 2.

Therefore, GCD of numbers 948, 488, 766 is 2

Given Input Data is 948, 488, 766

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

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 766 is 2 x 383

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(948, 488) = 115656

GCD(948, 488) = ( 948 x 488 ) / 115656

GCD(948, 488) = 462624 / 115656

GCD(948, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 766

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

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

GCD(4, 766) = 3064 / 1532

GCD(4, 766) = 2

GCD of 948, 488, 766 is 2

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1. What is the GCD of 948, 488, 766?

GCD of 948, 488, 766 is 2

2. Where do I get the detailed procedure to find GCD of 948, 488, 766?

You can find a detailed procedure to find GCD of 948, 488, 766 on our page.

3. How to find GCD of 948, 488, 766 on a calculator?

You can find the GCD of 948, 488, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.