GCD of 769, 142, 47, 996 Calculator

Given Input numbers are 769, 142, 47, 996

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 769, 142, 47, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 142, 47, 996 is 1.

Therefore, GCD of numbers 769, 142, 47, 996 is 1

Given Input Data is 769, 142, 47, 996

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

Prime Factorization of 769 is 769

Prime Factorization of 142 is 2 x 71

Prime Factorization of 47 is 47

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(769, 142) = 109198

GCD(769, 142) = ( 769 x 142 ) / 109198

GCD(769, 142) = 109198 / 109198

GCD(769, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 769, 142, 47, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 475, 35, 118
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• GCD of 514, 929, 40, 768
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1. What is the GCD of 769, 142, 47, 996?

GCD of 769, 142, 47, 996 is 1

2. Where do I get the detailed procedure to find GCD of 769, 142, 47, 996?

You can find a detailed procedure to find GCD of 769, 142, 47, 996 on our page.

3. How to find GCD of 769, 142, 47, 996 on a calculator?

You can find the GCD of 769, 142, 47, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.