GCD of 535, 263, 85, 214 Calculator

Given Input numbers are 535, 263, 85, 214

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 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 535, 263, 85, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 263, 85, 214 is 1.

Therefore, GCD of numbers 535, 263, 85, 214 is 1

Given Input Data is 535, 263, 85, 214

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 263 is 263

Prime Factorization of 85 is 5 x 17

Prime Factorization of 214 is 2 x 107

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, 263) = 140705

GCD(535, 263) = ( 535 x 263 ) / 140705

GCD(535, 263) = 140705 / 140705

GCD(535, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 535, 263, 85, 214 is 1

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• GCD of 129, 671, 28, 912
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• GCD of 105, 129, 50, 894

1. What is the GCD of 535, 263, 85, 214?

GCD of 535, 263, 85, 214 is 1

2. Where do I get the detailed procedure to find GCD of 535, 263, 85, 214?

You can find a detailed procedure to find GCD of 535, 263, 85, 214 on our page.

3. How to find GCD of 535, 263, 85, 214 on a calculator?

You can find the GCD of 535, 263, 85, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.