GCD of 48, 705, 120, 313 Calculator

Given Input numbers are 48, 705, 120, 313

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 48, 705, 120, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 705, 120, 313 is 1.

Therefore, GCD of numbers 48, 705, 120, 313 is 1

Given Input Data is 48, 705, 120, 313

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 313 is 313

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(48, 705) = 11280

GCD(48, 705) = ( 48 x 705 ) / 11280

GCD(48, 705) = 33840 / 11280

GCD(48, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 120

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

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

GCD(3, 120) = 360 / 120

GCD(3, 120) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

GCD of 48, 705, 120, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 881, 671, 128
• GCD of 20, 633, 263, 651
• GCD of 43, 209, 307, 290
• GCD of 26, 731, 190, 265
• GCD of 68, 102, 471, 935

1. What is the GCD of 48, 705, 120, 313?

GCD of 48, 705, 120, 313 is 1

2. Where do I get the detailed procedure to find GCD of 48, 705, 120, 313?

You can find a detailed procedure to find GCD of 48, 705, 120, 313 on our page.

3. How to find GCD of 48, 705, 120, 313 on a calculator?

You can find the GCD of 48, 705, 120, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.