GCD of 498, 935, 58, 952 Calculator

Given Input numbers are 498, 935, 58, 952

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 498, 935, 58, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 935, 58, 952 is 1.

Therefore, GCD of numbers 498, 935, 58, 952 is 1

Given Input Data is 498, 935, 58, 952

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 58 is 2 x 29

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(498, 935) = 465630

GCD(498, 935) = ( 498 x 935 ) / 465630

GCD(498, 935) = 465630 / 465630

GCD(498, 935) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 498, 935, 58, 952 is 1

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1. What is the GCD of 498, 935, 58, 952?

GCD of 498, 935, 58, 952 is 1

2. Where do I get the detailed procedure to find GCD of 498, 935, 58, 952?

You can find a detailed procedure to find GCD of 498, 935, 58, 952 on our page.

3. How to find GCD of 498, 935, 58, 952 on a calculator?

You can find the GCD of 498, 935, 58, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.