GCD of 658, 584, 410, 630 Calculator

Given Input numbers are 658, 584, 410, 630

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 658, 584, 410, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 584, 410, 630 is 2.

Therefore, GCD of numbers 658, 584, 410, 630 is 2

Given Input Data is 658, 584, 410, 630

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 584 is 2 x 2 x 2 x 73

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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, 584) = 192136

GCD(658, 584) = ( 658 x 584 ) / 192136

GCD(658, 584) = 384272 / 192136

GCD(658, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 658, 584, 410, 630 is 2

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1. What is the GCD of 658, 584, 410, 630?

GCD of 658, 584, 410, 630 is 2

2. Where do I get the detailed procedure to find GCD of 658, 584, 410, 630?

You can find a detailed procedure to find GCD of 658, 584, 410, 630 on our page.

3. How to find GCD of 658, 584, 410, 630 on a calculator?

You can find the GCD of 658, 584, 410, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.