GCD of 784, 882, 148, 303 Calculator

Given Input numbers are 784, 882, 148, 303

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 784, 882, 148, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 882, 148, 303 is 1.

Therefore, GCD of numbers 784, 882, 148, 303 is 1

Given Input Data is 784, 882, 148, 303

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 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 303 is 3 x 101

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, 882) = 7056

GCD(784, 882) = ( 784 x 882 ) / 7056

GCD(784, 882) = 691488 / 7056

GCD(784, 882) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 148

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

LCM(98, 148) = 7252

GCD(98, 148) = ( 98 x 148 ) / 7252

GCD(98, 148) = 14504 / 7252

GCD(98, 148) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 303

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

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

GCD(2, 303) = 606 / 606

GCD(2, 303) = 1

GCD of 784, 882, 148, 303 is 1

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• GCD of 586, 530, 592, 596
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1. What is the GCD of 784, 882, 148, 303?

GCD of 784, 882, 148, 303 is 1

2. Where do I get the detailed procedure to find GCD of 784, 882, 148, 303?

You can find a detailed procedure to find GCD of 784, 882, 148, 303 on our page.

3. How to find GCD of 784, 882, 148, 303 on a calculator?

You can find the GCD of 784, 882, 148, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.