GCD of 535, 560, 71, 275 Calculator

Given Input numbers are 535, 560, 71, 275

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 535, 560, 71, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 560, 71, 275 is 1.

Therefore, GCD of numbers 535, 560, 71, 275 is 1

Given Input Data is 535, 560, 71, 275

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 71 is 71

Prime Factorization of 275 is 5 x 5 x 11

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(535, 560) = 59920

GCD(535, 560) = ( 535 x 560 ) / 59920

GCD(535, 560) = 299600 / 59920

GCD(535, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 71

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

LCM(5, 71) = 355

GCD(5, 71) = ( 5 x 71 ) / 355

GCD(5, 71) = 355 / 355

GCD(5, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 535, 560, 71, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 119, 80, 164
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• GCD of 494, 237, 21, 662

1. What is the GCD of 535, 560, 71, 275?

GCD of 535, 560, 71, 275 is 1

2. Where do I get the detailed procedure to find GCD of 535, 560, 71, 275?

You can find a detailed procedure to find GCD of 535, 560, 71, 275 on our page.

3. How to find GCD of 535, 560, 71, 275 on a calculator?

You can find the GCD of 535, 560, 71, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.