GCD of 267, 106, 378, 535 Calculator

Given Input numbers are 267, 106, 378, 535

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 535

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

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 267, 106, 378, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 106, 378, 535 is 1.

Therefore, GCD of numbers 267, 106, 378, 535 is 1

Given Input Data is 267, 106, 378, 535

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 106 is 2 x 53

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 535 is 5 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(267, 106) = 28302

GCD(267, 106) = ( 267 x 106 ) / 28302

GCD(267, 106) = 28302 / 28302

GCD(267, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 267, 106, 378, 535 is 1

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• GCD of 134, 718, 464, 263
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• GCD of 774, 729, 114, 202

1. What is the GCD of 267, 106, 378, 535?

GCD of 267, 106, 378, 535 is 1

2. Where do I get the detailed procedure to find GCD of 267, 106, 378, 535?

You can find a detailed procedure to find GCD of 267, 106, 378, 535 on our page.

3. How to find GCD of 267, 106, 378, 535 on a calculator?

You can find the GCD of 267, 106, 378, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.