GCD of 976, 658, 437, 293 Calculator

Given Input numbers are 976, 658, 437, 293

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 976, 658, 437, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 658, 437, 293 is 1.

Therefore, GCD of numbers 976, 658, 437, 293 is 1

Given Input Data is 976, 658, 437, 293

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 437 is 19 x 23

Prime Factorization of 293 is 293

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(976, 658) = 321104

GCD(976, 658) = ( 976 x 658 ) / 321104

GCD(976, 658) = 642208 / 321104

GCD(976, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 437

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

LCM(2, 437) = 874

GCD(2, 437) = ( 2 x 437 ) / 874

GCD(2, 437) = 874 / 874

GCD(2, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 976, 658, 437, 293 is 1

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1. What is the GCD of 976, 658, 437, 293?

GCD of 976, 658, 437, 293 is 1

2. Where do I get the detailed procedure to find GCD of 976, 658, 437, 293?

You can find a detailed procedure to find GCD of 976, 658, 437, 293 on our page.

3. How to find GCD of 976, 658, 437, 293 on a calculator?

You can find the GCD of 976, 658, 437, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.