GCD of 46, 374, 755, 998 Calculator

Given Input numbers are 46, 374, 755, 998

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 374

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

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 46, 374, 755, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 374, 755, 998 is 1.

Therefore, GCD of numbers 46, 374, 755, 998 is 1

Given Input Data is 46, 374, 755, 998

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 755 is 5 x 151

Prime Factorization of 998 is 2 x 499

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, 374) = 8602

GCD(46, 374) = ( 46 x 374 ) / 8602

GCD(46, 374) = 17204 / 8602

GCD(46, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 755

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

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

GCD(2, 755) = 1510 / 1510

GCD(2, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 46, 374, 755, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 615, 311, 884
• GCD of 68, 860, 485, 366
• GCD of 96, 791, 377, 937
• GCD of 78, 438, 268, 420
• GCD of 72, 326, 345, 857

1. What is the GCD of 46, 374, 755, 998?

GCD of 46, 374, 755, 998 is 1

2. Where do I get the detailed procedure to find GCD of 46, 374, 755, 998?

You can find a detailed procedure to find GCD of 46, 374, 755, 998 on our page.

3. How to find GCD of 46, 374, 755, 998 on a calculator?

You can find the GCD of 46, 374, 755, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.