GCD of 658, 700, 396, 406 Calculator

Given Input numbers are 658, 700, 396, 406

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 658, 700, 396, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 700, 396, 406 is 2.

Therefore, GCD of numbers 658, 700, 396, 406 is 2

Given Input Data is 658, 700, 396, 406

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 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 406 is 2 x 7 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(658, 700) = 32900

GCD(658, 700) = ( 658 x 700 ) / 32900

GCD(658, 700) = 460600 / 32900

GCD(658, 700) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 396

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

LCM(14, 396) = 2772

GCD(14, 396) = ( 14 x 396 ) / 2772

GCD(14, 396) = 5544 / 2772

GCD(14, 396) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

GCD of 658, 700, 396, 406 is 2

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1. What is the GCD of 658, 700, 396, 406?

GCD of 658, 700, 396, 406 is 2

2. Where do I get the detailed procedure to find GCD of 658, 700, 396, 406?

You can find a detailed procedure to find GCD of 658, 700, 396, 406 on our page.

3. How to find GCD of 658, 700, 396, 406 on a calculator?

You can find the GCD of 658, 700, 396, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.