GCD of 328, 512, 700, 260 Calculator

Given Input numbers are 328, 512, 700, 260

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 328, 512, 700, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 512, 700, 260 is 4.

Therefore, GCD of numbers 328, 512, 700, 260 is 4

Given Input Data is 328, 512, 700, 260

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(328, 512) = 20992

GCD(328, 512) = ( 328 x 512 ) / 20992

GCD(328, 512) = 167936 / 20992

GCD(328, 512) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 700

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

LCM(8, 700) = 1400

GCD(8, 700) = ( 8 x 700 ) / 1400

GCD(8, 700) = 5600 / 1400

GCD(8, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 260

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

LCM(4, 260) = 260

GCD(4, 260) = ( 4 x 260 ) / 260

GCD(4, 260) = 1040 / 260

GCD(4, 260) = 4

GCD of 328, 512, 700, 260 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 643, 683, 798
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• GCD of 914, 470, 245, 394

1. What is the GCD of 328, 512, 700, 260?

GCD of 328, 512, 700, 260 is 4

2. Where do I get the detailed procedure to find GCD of 328, 512, 700, 260?

You can find a detailed procedure to find GCD of 328, 512, 700, 260 on our page.

3. How to find GCD of 328, 512, 700, 260 on a calculator?

You can find the GCD of 328, 512, 700, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.