GCD of 648, 182, 109, 957 Calculator

Given Input numbers are 648, 182, 109, 957

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 648, 182, 109, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 182, 109, 957 is 1.

Therefore, GCD of numbers 648, 182, 109, 957 is 1

Given Input Data is 648, 182, 109, 957

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 182 is 2 x 7 x 13

Prime Factorization of 109 is 109

Prime Factorization of 957 is 3 x 11 x 29

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, 182) = 58968

GCD(648, 182) = ( 648 x 182 ) / 58968

GCD(648, 182) = 117936 / 58968

GCD(648, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 648, 182, 109, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 616, 639, 159
• GCD of 588, 108, 552, 773
• GCD of 786, 365, 727, 110
• GCD of 524, 545, 981, 138
• GCD of 269, 339, 647, 387

1. What is the GCD of 648, 182, 109, 957?

GCD of 648, 182, 109, 957 is 1

2. Where do I get the detailed procedure to find GCD of 648, 182, 109, 957?

You can find a detailed procedure to find GCD of 648, 182, 109, 957 on our page.

3. How to find GCD of 648, 182, 109, 957 on a calculator?

You can find the GCD of 648, 182, 109, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.