GCD of 535, 695, 134, 514 Calculator

Given Input numbers are 535, 695, 134, 514

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 535, 695, 134, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 695, 134, 514 is 1.

Therefore, GCD of numbers 535, 695, 134, 514 is 1

Given Input Data is 535, 695, 134, 514

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 695 is 5 x 139

Prime Factorization of 134 is 2 x 67

Prime Factorization of 514 is 2 x 257

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, 695) = 74365

GCD(535, 695) = ( 535 x 695 ) / 74365

GCD(535, 695) = 371825 / 74365

GCD(535, 695) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 134

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

LCM(5, 134) = 670

GCD(5, 134) = ( 5 x 134 ) / 670

GCD(5, 134) = 670 / 670

GCD(5, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 535, 695, 134, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 937, 490, 729
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• GCD of 885, 737, 352, 941
• GCD of 257, 321, 406, 406

1. What is the GCD of 535, 695, 134, 514?

GCD of 535, 695, 134, 514 is 1

2. Where do I get the detailed procedure to find GCD of 535, 695, 134, 514?

You can find a detailed procedure to find GCD of 535, 695, 134, 514 on our page.

3. How to find GCD of 535, 695, 134, 514 on a calculator?

You can find the GCD of 535, 695, 134, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.