GCD of 642, 786, 945, 116 Calculator

Given Input numbers are 642, 786, 945, 116

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

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 642, 786, 945, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 786, 945, 116 is 1.

Therefore, GCD of numbers 642, 786, 945, 116 is 1

Given Input Data is 642, 786, 945, 116

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 116 is 2 x 2 x 29

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(642, 786) = 84102

GCD(642, 786) = ( 642 x 786 ) / 84102

GCD(642, 786) = 504612 / 84102

GCD(642, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 945

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

LCM(6, 945) = 1890

GCD(6, 945) = ( 6 x 945 ) / 1890

GCD(6, 945) = 5670 / 1890

GCD(6, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

GCD of 642, 786, 945, 116 is 1

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1. What is the GCD of 642, 786, 945, 116?

GCD of 642, 786, 945, 116 is 1

2. Where do I get the detailed procedure to find GCD of 642, 786, 945, 116?

You can find a detailed procedure to find GCD of 642, 786, 945, 116 on our page.

3. How to find GCD of 642, 786, 945, 116 on a calculator?

You can find the GCD of 642, 786, 945, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.