GCD of 996, 840, 767, 421 Calculator

Given Input numbers are 996, 840, 767, 421

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

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 996, 840, 767, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 840, 767, 421 is 1.

Therefore, GCD of numbers 996, 840, 767, 421 is 1

Given Input Data is 996, 840, 767, 421

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

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 767 is 13 x 59

Prime Factorization of 421 is 421

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(996, 840) = 69720

GCD(996, 840) = ( 996 x 840 ) / 69720

GCD(996, 840) = 836640 / 69720

GCD(996, 840) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 767

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

LCM(12, 767) = 9204

GCD(12, 767) = ( 12 x 767 ) / 9204

GCD(12, 767) = 9204 / 9204

GCD(12, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 996, 840, 767, 421 is 1

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1. What is the GCD of 996, 840, 767, 421?

GCD of 996, 840, 767, 421 is 1

2. Where do I get the detailed procedure to find GCD of 996, 840, 767, 421?

You can find a detailed procedure to find GCD of 996, 840, 767, 421 on our page.

3. How to find GCD of 996, 840, 767, 421 on a calculator?

You can find the GCD of 996, 840, 767, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.