GCD of 766, 958, 24, 264 Calculator

Given Input numbers are 766, 958, 24, 264

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

Divisors of 766

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

1, 2, 383, 766

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 766, 958, 24, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 958, 24, 264 is 2.

Therefore, GCD of numbers 766, 958, 24, 264 is 2

Given Input Data is 766, 958, 24, 264

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 958 is 2 x 479

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(766, 958) = 366914

GCD(766, 958) = ( 766 x 958 ) / 366914

GCD(766, 958) = 733828 / 366914

GCD(766, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 766, 958, 24, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 268, 54, 587
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• GCD of 849, 367, 18, 888
• GCD of 915, 674, 64, 787

1. What is the GCD of 766, 958, 24, 264?

GCD of 766, 958, 24, 264 is 2

2. Where do I get the detailed procedure to find GCD of 766, 958, 24, 264?

You can find a detailed procedure to find GCD of 766, 958, 24, 264 on our page.

3. How to find GCD of 766, 958, 24, 264 on a calculator?

You can find the GCD of 766, 958, 24, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.