GCD of 105, 746, 54, 408 Calculator

Given Input numbers are 105, 746, 54, 408

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 105, 746, 54, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 746, 54, 408 is 1.

Therefore, GCD of numbers 105, 746, 54, 408 is 1

Given Input Data is 105, 746, 54, 408

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 746 is 2 x 373

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 746) = 78330

GCD(105, 746) = ( 105 x 746 ) / 78330

GCD(105, 746) = 78330 / 78330

GCD(105, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 105, 746, 54, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 292, 27, 537
• GCD of 303, 801, 25, 821
• GCD of 419, 917, 20, 352
• GCD of 500, 577, 81, 125
• GCD of 373, 715, 54, 122

1. What is the GCD of 105, 746, 54, 408?

GCD of 105, 746, 54, 408 is 1

2. Where do I get the detailed procedure to find GCD of 105, 746, 54, 408?

You can find a detailed procedure to find GCD of 105, 746, 54, 408 on our page.

3. How to find GCD of 105, 746, 54, 408 on a calculator?

You can find the GCD of 105, 746, 54, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.