GCD of 910, 435, 548, 272 Calculator

Given Input numbers are 910, 435, 548, 272

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 910, 435, 548, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 435, 548, 272 is 1.

Therefore, GCD of numbers 910, 435, 548, 272 is 1

Given Input Data is 910, 435, 548, 272

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(910, 435) = 79170

GCD(910, 435) = ( 910 x 435 ) / 79170

GCD(910, 435) = 395850 / 79170

GCD(910, 435) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 548

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

LCM(5, 548) = 2740

GCD(5, 548) = ( 5 x 548 ) / 2740

GCD(5, 548) = 2740 / 2740

GCD(5, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 910, 435, 548, 272 is 1

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1. What is the GCD of 910, 435, 548, 272?

GCD of 910, 435, 548, 272 is 1

2. Where do I get the detailed procedure to find GCD of 910, 435, 548, 272?

You can find a detailed procedure to find GCD of 910, 435, 548, 272 on our page.

3. How to find GCD of 910, 435, 548, 272 on a calculator?

You can find the GCD of 910, 435, 548, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.