GCD of 658, 154, 663, 502 Calculator

Given Input numbers are 658, 154, 663, 502

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 658, 154, 663, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 154, 663, 502 is 1.

Therefore, GCD of numbers 658, 154, 663, 502 is 1

Given Input Data is 658, 154, 663, 502

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 154 is 2 x 7 x 11

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 502 is 2 x 251

The above numbers do not have any common prime factor. So GCD is 1

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, 154) = 7238

GCD(658, 154) = ( 658 x 154 ) / 7238

GCD(658, 154) = 101332 / 7238

GCD(658, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 663

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

LCM(14, 663) = 9282

GCD(14, 663) = ( 14 x 663 ) / 9282

GCD(14, 663) = 9282 / 9282

GCD(14, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 658, 154, 663, 502 is 1

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• GCD of 777, 653, 188, 172
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1. What is the GCD of 658, 154, 663, 502?

GCD of 658, 154, 663, 502 is 1

2. Where do I get the detailed procedure to find GCD of 658, 154, 663, 502?

You can find a detailed procedure to find GCD of 658, 154, 663, 502 on our page.

3. How to find GCD of 658, 154, 663, 502 on a calculator?

You can find the GCD of 658, 154, 663, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.