GCD of 698, 366, 658, 468 Calculator

Given Input numbers are 698, 366, 658, 468

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 698, 366, 658, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 366, 658, 468 is 2.

Therefore, GCD of numbers 698, 366, 658, 468 is 2

Given Input Data is 698, 366, 658, 468

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(698, 366) = 127734

GCD(698, 366) = ( 698 x 366 ) / 127734

GCD(698, 366) = 255468 / 127734

GCD(698, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 658

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

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

GCD(2, 658) = 1316 / 658

GCD(2, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 698, 366, 658, 468 is 2

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1. What is the GCD of 698, 366, 658, 468?

GCD of 698, 366, 658, 468 is 2

2. Where do I get the detailed procedure to find GCD of 698, 366, 658, 468?

You can find a detailed procedure to find GCD of 698, 366, 658, 468 on our page.

3. How to find GCD of 698, 366, 658, 468 on a calculator?

You can find the GCD of 698, 366, 658, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.