GCD of 105, 155, 424, 536 Calculator

Given Input numbers are 105, 155, 424, 536

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 105, 155, 424, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 155, 424, 536 is 1.

Therefore, GCD of numbers 105, 155, 424, 536 is 1

Given Input Data is 105, 155, 424, 536

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 155 is 5 x 31

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(105, 155) = 3255

GCD(105, 155) = ( 105 x 155 ) / 3255

GCD(105, 155) = 16275 / 3255

GCD(105, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 424

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

LCM(5, 424) = 2120

GCD(5, 424) = ( 5 x 424 ) / 2120

GCD(5, 424) = 2120 / 2120

GCD(5, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 105, 155, 424, 536 is 1

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• GCD of 907, 715, 690, 911
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1. What is the GCD of 105, 155, 424, 536?

GCD of 105, 155, 424, 536 is 1

2. Where do I get the detailed procedure to find GCD of 105, 155, 424, 536?

You can find a detailed procedure to find GCD of 105, 155, 424, 536 on our page.

3. How to find GCD of 105, 155, 424, 536 on a calculator?

You can find the GCD of 105, 155, 424, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.