GCD of 95, 109, 648, 148 Calculator

Given Input numbers are 95, 109, 648, 148

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 109

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

1, 109

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 95, 109, 648, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 109, 648, 148 is 1.

Therefore, GCD of numbers 95, 109, 648, 148 is 1

Given Input Data is 95, 109, 648, 148

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 109 is 109

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

Prime Factorization of 148 is 2 x 2 x 37

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(95, 109) = 10355

GCD(95, 109) = ( 95 x 109 ) / 10355

GCD(95, 109) = 10355 / 10355

GCD(95, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 95, 109, 648, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 758, 582, 871
• GCD of 60, 430, 708, 932
• GCD of 39, 739, 999, 735
• GCD of 74, 670, 789, 162
• GCD of 63, 294, 607, 385

1. What is the GCD of 95, 109, 648, 148?

GCD of 95, 109, 648, 148 is 1

2. Where do I get the detailed procedure to find GCD of 95, 109, 648, 148?

You can find a detailed procedure to find GCD of 95, 109, 648, 148 on our page.

3. How to find GCD of 95, 109, 648, 148 on a calculator?

You can find the GCD of 95, 109, 648, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.