GCD of 105, 245, 68, 387 Calculator

Given Input numbers are 105, 245, 68, 387

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 105, 245, 68, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 245, 68, 387 is 1.

Therefore, GCD of numbers 105, 245, 68, 387 is 1

Given Input Data is 105, 245, 68, 387

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 387 is 3 x 3 x 43

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(105, 245) = 735

GCD(105, 245) = ( 105 x 245 ) / 735

GCD(105, 245) = 25725 / 735

GCD(105, 245) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 68

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

LCM(35, 68) = 2380

GCD(35, 68) = ( 35 x 68 ) / 2380

GCD(35, 68) = 2380 / 2380

GCD(35, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 105, 245, 68, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 929, 84, 282
• GCD of 745, 377, 73, 997
• GCD of 597, 359, 41, 467
• GCD of 267, 880, 85, 359
• GCD of 541, 184, 76, 880

1. What is the GCD of 105, 245, 68, 387?

GCD of 105, 245, 68, 387 is 1

2. Where do I get the detailed procedure to find GCD of 105, 245, 68, 387?

You can find a detailed procedure to find GCD of 105, 245, 68, 387 on our page.

3. How to find GCD of 105, 245, 68, 387 on a calculator?

You can find the GCD of 105, 245, 68, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.