GCD of 915, 548, 820, 110 Calculator

Given Input numbers are 915, 548, 820, 110

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 915, 548, 820, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 548, 820, 110 is 1.

Therefore, GCD of numbers 915, 548, 820, 110 is 1

Given Input Data is 915, 548, 820, 110

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 110 is 2 x 5 x 11

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(915, 548) = 501420

GCD(915, 548) = ( 915 x 548 ) / 501420

GCD(915, 548) = 501420 / 501420

GCD(915, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 915, 548, 820, 110 is 1

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1. What is the GCD of 915, 548, 820, 110?

GCD of 915, 548, 820, 110 is 1

2. Where do I get the detailed procedure to find GCD of 915, 548, 820, 110?

You can find a detailed procedure to find GCD of 915, 548, 820, 110 on our page.

3. How to find GCD of 915, 548, 820, 110 on a calculator?

You can find the GCD of 915, 548, 820, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.