GCD of 46, 118, 374, 203 Calculator

Given Input numbers are 46, 118, 374, 203

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 118

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

1, 2, 59, 118

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 46, 118, 374, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 118, 374, 203 is 1.

Therefore, GCD of numbers 46, 118, 374, 203 is 1

Given Input Data is 46, 118, 374, 203

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 118 is 2 x 59

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 203 is 7 x 29

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(46, 118) = 2714

GCD(46, 118) = ( 46 x 118 ) / 2714

GCD(46, 118) = 5428 / 2714

GCD(46, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 203

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

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

GCD(2, 203) = 406 / 406

GCD(2, 203) = 1

GCD of 46, 118, 374, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 436, 131, 707
• GCD of 22, 515, 591, 216
• GCD of 23, 547, 214, 173
• GCD of 97, 208, 141, 450
• GCD of 35, 910, 113, 429

1. What is the GCD of 46, 118, 374, 203?

GCD of 46, 118, 374, 203 is 1

2. Where do I get the detailed procedure to find GCD of 46, 118, 374, 203?

You can find a detailed procedure to find GCD of 46, 118, 374, 203 on our page.

3. How to find GCD of 46, 118, 374, 203 on a calculator?

You can find the GCD of 46, 118, 374, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.