GCD of 658, 147, 463, 349 Calculator

Given Input numbers are 658, 147, 463, 349

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 658, 147, 463, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 147, 463, 349 is 1.

Therefore, GCD of numbers 658, 147, 463, 349 is 1

Given Input Data is 658, 147, 463, 349

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 147 is 3 x 7 x 7

Prime Factorization of 463 is 463

Prime Factorization of 349 is 349

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, 147) = 13818

GCD(658, 147) = ( 658 x 147 ) / 13818

GCD(658, 147) = 96726 / 13818

GCD(658, 147) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 463

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

LCM(7, 463) = 3241

GCD(7, 463) = ( 7 x 463 ) / 3241

GCD(7, 463) = 3241 / 3241

GCD(7, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 658, 147, 463, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 288, 647, 285
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• GCD of 792, 686, 497, 145

1. What is the GCD of 658, 147, 463, 349?

GCD of 658, 147, 463, 349 is 1

2. Where do I get the detailed procedure to find GCD of 658, 147, 463, 349?

You can find a detailed procedure to find GCD of 658, 147, 463, 349 on our page.

3. How to find GCD of 658, 147, 463, 349 on a calculator?

You can find the GCD of 658, 147, 463, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.