GCD of 361, 385, 998, 958 Calculator

Given Input numbers are 361, 385, 998, 958

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 998

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

1, 2, 499, 998

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 361, 385, 998, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 385, 998, 958 is 1.

Therefore, GCD of numbers 361, 385, 998, 958 is 1

Given Input Data is 361, 385, 998, 958

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 998 is 2 x 499

Prime Factorization of 958 is 2 x 479

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(361, 385) = 138985

GCD(361, 385) = ( 361 x 385 ) / 138985

GCD(361, 385) = 138985 / 138985

GCD(361, 385) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 361, 385, 998, 958 is 1

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1. What is the GCD of 361, 385, 998, 958?

GCD of 361, 385, 998, 958 is 1

2. Where do I get the detailed procedure to find GCD of 361, 385, 998, 958?

You can find a detailed procedure to find GCD of 361, 385, 998, 958 on our page.

3. How to find GCD of 361, 385, 998, 958 on a calculator?

You can find the GCD of 361, 385, 998, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.