GCD of 658, 730, 46, 434 Calculator

Given Input numbers are 658, 730, 46, 434

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 658, 730, 46, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 730, 46, 434 is 2.

Therefore, GCD of numbers 658, 730, 46, 434 is 2

Given Input Data is 658, 730, 46, 434

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 730 is 2 x 5 x 73

Prime Factorization of 46 is 2 x 23

Prime Factorization of 434 is 2 x 7 x 31

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, 730) = 240170

GCD(658, 730) = ( 658 x 730 ) / 240170

GCD(658, 730) = 480340 / 240170

GCD(658, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

GCD of 658, 730, 46, 434 is 2

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• GCD of 530, 277, 17, 548
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• GCD of 305, 766, 97, 137
• GCD of 439, 276, 38, 157
• GCD of 498, 569, 83, 763

1. What is the GCD of 658, 730, 46, 434?

GCD of 658, 730, 46, 434 is 2

2. Where do I get the detailed procedure to find GCD of 658, 730, 46, 434?

You can find a detailed procedure to find GCD of 658, 730, 46, 434 on our page.

3. How to find GCD of 658, 730, 46, 434 on a calculator?

You can find the GCD of 658, 730, 46, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.