GCD of 268, 105, 15, 929 Calculator

Given Input numbers are 268, 105, 15, 929

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 268, 105, 15, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 105, 15, 929 is 1.

Therefore, GCD of numbers 268, 105, 15, 929 is 1

Given Input Data is 268, 105, 15, 929

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 929 is 929

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(268, 105) = 28140

GCD(268, 105) = ( 268 x 105 ) / 28140

GCD(268, 105) = 28140 / 28140

GCD(268, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 268, 105, 15, 929 is 1

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• GCD of 227, 935, 73, 921
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1. What is the GCD of 268, 105, 15, 929?

GCD of 268, 105, 15, 929 is 1

2. Where do I get the detailed procedure to find GCD of 268, 105, 15, 929?

You can find a detailed procedure to find GCD of 268, 105, 15, 929 on our page.

3. How to find GCD of 268, 105, 15, 929 on a calculator?

You can find the GCD of 268, 105, 15, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.