GCD of 658, 728, 746, 474 Calculator

Given Input numbers are 658, 728, 746, 474

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 658, 728, 746, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 728, 746, 474 is 2.

Therefore, GCD of numbers 658, 728, 746, 474 is 2

Given Input Data is 658, 728, 746, 474

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 746 is 2 x 373

Prime Factorization of 474 is 2 x 3 x 79

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(658, 728) = 34216

GCD(658, 728) = ( 658 x 728 ) / 34216

GCD(658, 728) = 479024 / 34216

GCD(658, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 746

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

LCM(14, 746) = 5222

GCD(14, 746) = ( 14 x 746 ) / 5222

GCD(14, 746) = 10444 / 5222

GCD(14, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 658, 728, 746, 474 is 2

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1. What is the GCD of 658, 728, 746, 474?

GCD of 658, 728, 746, 474 is 2

2. Where do I get the detailed procedure to find GCD of 658, 728, 746, 474?

You can find a detailed procedure to find GCD of 658, 728, 746, 474 on our page.

3. How to find GCD of 658, 728, 746, 474 on a calculator?

You can find the GCD of 658, 728, 746, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.