GCD of 407, 274, 51, 118 Calculator

Given Input numbers are 407, 274, 51, 118

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 407, 274, 51, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 274, 51, 118 is 1.

Therefore, GCD of numbers 407, 274, 51, 118 is 1

Given Input Data is 407, 274, 51, 118

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 274 is 2 x 137

Prime Factorization of 51 is 3 x 17

Prime Factorization of 118 is 2 x 59

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(407, 274) = 111518

GCD(407, 274) = ( 407 x 274 ) / 111518

GCD(407, 274) = 111518 / 111518

GCD(407, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 407, 274, 51, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 726, 45, 898
• GCD of 167, 894, 77, 831
• GCD of 760, 419, 51, 685
• GCD of 397, 153, 76, 698
• GCD of 599, 472, 18, 778

1. What is the GCD of 407, 274, 51, 118?

GCD of 407, 274, 51, 118 is 1

2. Where do I get the detailed procedure to find GCD of 407, 274, 51, 118?

You can find a detailed procedure to find GCD of 407, 274, 51, 118 on our page.

3. How to find GCD of 407, 274, 51, 118 on a calculator?

You can find the GCD of 407, 274, 51, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.