GCD of 784, 352, 658, 985 Calculator

Given Input numbers are 784, 352, 658, 985

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 784, 352, 658, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 352, 658, 985 is 1.

Therefore, GCD of numbers 784, 352, 658, 985 is 1

Given Input Data is 784, 352, 658, 985

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 985 is 5 x 197

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(784, 352) = 17248

GCD(784, 352) = ( 784 x 352 ) / 17248

GCD(784, 352) = 275968 / 17248

GCD(784, 352) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 658

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

LCM(16, 658) = 5264

GCD(16, 658) = ( 16 x 658 ) / 5264

GCD(16, 658) = 10528 / 5264

GCD(16, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 985

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

LCM(2, 985) = 1970

GCD(2, 985) = ( 2 x 985 ) / 1970

GCD(2, 985) = 1970 / 1970

GCD(2, 985) = 1

GCD of 784, 352, 658, 985 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 138, 484, 313, 443

1. What is the GCD of 784, 352, 658, 985?

GCD of 784, 352, 658, 985 is 1

2. Where do I get the detailed procedure to find GCD of 784, 352, 658, 985?

You can find a detailed procedure to find GCD of 784, 352, 658, 985 on our page.

3. How to find GCD of 784, 352, 658, 985 on a calculator?

You can find the GCD of 784, 352, 658, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.