GCD of 264, 632, 20, 768 Calculator

Given Input numbers are 264, 632, 20, 768

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

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 264, 632, 20, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 632, 20, 768 is 4.

Therefore, GCD of numbers 264, 632, 20, 768 is 4

Given Input Data is 264, 632, 20, 768

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

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(264, 632) = 20856

GCD(264, 632) = ( 264 x 632 ) / 20856

GCD(264, 632) = 166848 / 20856

GCD(264, 632) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 20

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

LCM(8, 20) = 40

GCD(8, 20) = ( 8 x 20 ) / 40

GCD(8, 20) = 160 / 40

GCD(8, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 768

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

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

GCD(4, 768) = 3072 / 768

GCD(4, 768) = 4

GCD of 264, 632, 20, 768 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 539, 25, 688
• GCD of 810, 466, 98, 958
• GCD of 221, 989, 47, 484
• GCD of 511, 477, 78, 711
• GCD of 387, 416, 51, 747

1. What is the GCD of 264, 632, 20, 768?

GCD of 264, 632, 20, 768 is 4

2. Where do I get the detailed procedure to find GCD of 264, 632, 20, 768?

You can find a detailed procedure to find GCD of 264, 632, 20, 768 on our page.

3. How to find GCD of 264, 632, 20, 768 on a calculator?

You can find the GCD of 264, 632, 20, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.