GCD of 946, 898, 58 Calculator

Given Input numbers are 946, 898, 58

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 58

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

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 946, 898, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 898, 58 is 2.

Therefore, GCD of numbers 946, 898, 58 is 2

Given Input Data is 946, 898, 58

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 898 is 2 x 449

Prime Factorization of 58 is 2 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(946, 898) = 424754

GCD(946, 898) = ( 946 x 898 ) / 424754

GCD(946, 898) = 849508 / 424754

GCD(946, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

GCD of 946, 898, 58 is 2

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1. What is the GCD of 946, 898, 58?

GCD of 946, 898, 58 is 2

2. Where do I get the detailed procedure to find GCD of 946, 898, 58?

You can find a detailed procedure to find GCD of 946, 898, 58 on our page.

3. How to find GCD of 946, 898, 58 on a calculator?

You can find the GCD of 946, 898, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.