GCD of 648, 948, 185, 880 Calculator

Given Input numbers are 648, 948, 185, 880

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 648, 948, 185, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 948, 185, 880 is 1.

Therefore, GCD of numbers 648, 948, 185, 880 is 1

Given Input Data is 648, 948, 185, 880

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 185 is 5 x 37

Prime Factorization of 880 is 2 x 2 x 2 x 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(648, 948) = 51192

GCD(648, 948) = ( 648 x 948 ) / 51192

GCD(648, 948) = 614304 / 51192

GCD(648, 948) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 185

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

LCM(12, 185) = 2220

GCD(12, 185) = ( 12 x 185 ) / 2220

GCD(12, 185) = 2220 / 2220

GCD(12, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 648, 948, 185, 880 is 1

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1. What is the GCD of 648, 948, 185, 880?

GCD of 648, 948, 185, 880 is 1

2. Where do I get the detailed procedure to find GCD of 648, 948, 185, 880?

You can find a detailed procedure to find GCD of 648, 948, 185, 880 on our page.

3. How to find GCD of 648, 948, 185, 880 on a calculator?

You can find the GCD of 648, 948, 185, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.