GCD of 658, 894, 71, 149 Calculator

Given Input numbers are 658, 894, 71, 149

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 658, 894, 71, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 894, 71, 149 is 1.

Therefore, GCD of numbers 658, 894, 71, 149 is 1

Given Input Data is 658, 894, 71, 149

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 894 is 2 x 3 x 149

Prime Factorization of 71 is 71

Prime Factorization of 149 is 149

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, 894) = 294126

GCD(658, 894) = ( 658 x 894 ) / 294126

GCD(658, 894) = 588252 / 294126

GCD(658, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 658, 894, 71, 149 is 1

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• GCD of 633, 570, 10, 219
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1. What is the GCD of 658, 894, 71, 149?

GCD of 658, 894, 71, 149 is 1

2. Where do I get the detailed procedure to find GCD of 658, 894, 71, 149?

You can find a detailed procedure to find GCD of 658, 894, 71, 149 on our page.

3. How to find GCD of 658, 894, 71, 149 on a calculator?

You can find the GCD of 658, 894, 71, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.