GCD of 260, 350, 705, 432 Calculator

Given Input numbers are 260, 350, 705, 432

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

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 260, 350, 705, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 350, 705, 432 is 1.

Therefore, GCD of numbers 260, 350, 705, 432 is 1

Given Input Data is 260, 350, 705, 432

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

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(260, 350) = 9100

GCD(260, 350) = ( 260 x 350 ) / 9100

GCD(260, 350) = 91000 / 9100

GCD(260, 350) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 705

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

LCM(10, 705) = 1410

GCD(10, 705) = ( 10 x 705 ) / 1410

GCD(10, 705) = 7050 / 1410

GCD(10, 705) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 432

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

LCM(5, 432) = 2160

GCD(5, 432) = ( 5 x 432 ) / 2160

GCD(5, 432) = 2160 / 2160

GCD(5, 432) = 1

GCD of 260, 350, 705, 432 is 1

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• GCD of 538, 261, 484, 902
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• GCD of 551, 527, 257, 303

1. What is the GCD of 260, 350, 705, 432?

GCD of 260, 350, 705, 432 is 1

2. Where do I get the detailed procedure to find GCD of 260, 350, 705, 432?

You can find a detailed procedure to find GCD of 260, 350, 705, 432 on our page.

3. How to find GCD of 260, 350, 705, 432 on a calculator?

You can find the GCD of 260, 350, 705, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.