GCD of 998, 922, 950, 377 Calculator

Given Input numbers are 998, 922, 950, 377

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 998, 922, 950, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 922, 950, 377 is 1.

Therefore, GCD of numbers 998, 922, 950, 377 is 1

Given Input Data is 998, 922, 950, 377

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 922 is 2 x 461

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 377 is 13 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(998, 922) = 460078

GCD(998, 922) = ( 998 x 922 ) / 460078

GCD(998, 922) = 920156 / 460078

GCD(998, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 998, 922, 950, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 316, 557, 463
• GCD of 653, 371, 734, 257
• GCD of 316, 149, 978, 854
• GCD of 230, 896, 717, 476
• GCD of 573, 513, 629, 378

1. What is the GCD of 998, 922, 950, 377?

GCD of 998, 922, 950, 377 is 1

2. Where do I get the detailed procedure to find GCD of 998, 922, 950, 377?

You can find a detailed procedure to find GCD of 998, 922, 950, 377 on our page.

3. How to find GCD of 998, 922, 950, 377 on a calculator?

You can find the GCD of 998, 922, 950, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.