GCD of 784, 642, 49, 131 Calculator

Given Input numbers are 784, 642, 49, 131

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 784, 642, 49, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 642, 49, 131 is 1.

Therefore, GCD of numbers 784, 642, 49, 131 is 1

Given Input Data is 784, 642, 49, 131

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 642 is 2 x 3 x 107

Prime Factorization of 49 is 7 x 7

Prime Factorization of 131 is 131

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, 642) = 251664

GCD(784, 642) = ( 784 x 642 ) / 251664

GCD(784, 642) = 503328 / 251664

GCD(784, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 784, 642, 49, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 154, 79, 127
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• GCD of 464, 249, 13, 676
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1. What is the GCD of 784, 642, 49, 131?

GCD of 784, 642, 49, 131 is 1

2. Where do I get the detailed procedure to find GCD of 784, 642, 49, 131?

You can find a detailed procedure to find GCD of 784, 642, 49, 131 on our page.

3. How to find GCD of 784, 642, 49, 131 on a calculator?

You can find the GCD of 784, 642, 49, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.