GCD of 48, 617, 742, 380 Calculator

Given Input numbers are 48, 617, 742, 380

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 48, 617, 742, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 617, 742, 380 is 1.

Therefore, GCD of numbers 48, 617, 742, 380 is 1

Given Input Data is 48, 617, 742, 380

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 617 is 617

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 617) = 29616

GCD(48, 617) = ( 48 x 617 ) / 29616

GCD(48, 617) = 29616 / 29616

GCD(48, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 48, 617, 742, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 489, 278, 777
• GCD of 81, 321, 270, 886
• GCD of 17, 722, 709, 106
• GCD of 23, 841, 990, 114
• GCD of 20, 530, 320, 812

1. What is the GCD of 48, 617, 742, 380?

GCD of 48, 617, 742, 380 is 1

2. Where do I get the detailed procedure to find GCD of 48, 617, 742, 380?

You can find a detailed procedure to find GCD of 48, 617, 742, 380 on our page.

3. How to find GCD of 48, 617, 742, 380 on a calculator?

You can find the GCD of 48, 617, 742, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.