GCD of 918, 725, 42, 105 Calculator

Given Input numbers are 918, 725, 42, 105

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 918, 725, 42, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 725, 42, 105 is 1.

Therefore, GCD of numbers 918, 725, 42, 105 is 1

Given Input Data is 918, 725, 42, 105

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 105 is 3 x 5 x 7

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(918, 725) = 665550

GCD(918, 725) = ( 918 x 725 ) / 665550

GCD(918, 725) = 665550 / 665550

GCD(918, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 918, 725, 42, 105 is 1

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• GCD of 756, 948, 85, 142
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1. What is the GCD of 918, 725, 42, 105?

GCD of 918, 725, 42, 105 is 1

2. Where do I get the detailed procedure to find GCD of 918, 725, 42, 105?

You can find a detailed procedure to find GCD of 918, 725, 42, 105 on our page.

3. How to find GCD of 918, 725, 42, 105 on a calculator?

You can find the GCD of 918, 725, 42, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.