GCD of 111, 117, 535, 455 Calculator

Given Input numbers are 111, 117, 535, 455

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 535

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

1, 5, 107, 535

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 111, 117, 535, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 117, 535, 455 is 1.

Therefore, GCD of numbers 111, 117, 535, 455 is 1

Given Input Data is 111, 117, 535, 455

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 535 is 5 x 107

Prime Factorization of 455 is 5 x 7 x 13

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(111, 117) = 4329

GCD(111, 117) = ( 111 x 117 ) / 4329

GCD(111, 117) = 12987 / 4329

GCD(111, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 535

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

LCM(3, 535) = 1605

GCD(3, 535) = ( 3 x 535 ) / 1605

GCD(3, 535) = 1605 / 1605

GCD(3, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 111, 117, 535, 455 is 1

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1. What is the GCD of 111, 117, 535, 455?

GCD of 111, 117, 535, 455 is 1

2. Where do I get the detailed procedure to find GCD of 111, 117, 535, 455?

You can find a detailed procedure to find GCD of 111, 117, 535, 455 on our page.

3. How to find GCD of 111, 117, 535, 455 on a calculator?

You can find the GCD of 111, 117, 535, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.