GCD of 676, 814, 962, 641 Calculator

Given Input numbers are 676, 814, 962, 641

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 676, 814, 962, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 814, 962, 641 is 1.

Therefore, GCD of numbers 676, 814, 962, 641 is 1

Given Input Data is 676, 814, 962, 641

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 641 is 641

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(676, 814) = 275132

GCD(676, 814) = ( 676 x 814 ) / 275132

GCD(676, 814) = 550264 / 275132

GCD(676, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 641

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

LCM(2, 641) = 1282

GCD(2, 641) = ( 2 x 641 ) / 1282

GCD(2, 641) = 1282 / 1282

GCD(2, 641) = 1

GCD of 676, 814, 962, 641 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 676, 814, 962, 641?

GCD of 676, 814, 962, 641 is 1

2. Where do I get the detailed procedure to find GCD of 676, 814, 962, 641?

You can find a detailed procedure to find GCD of 676, 814, 962, 641 on our page.

3. How to find GCD of 676, 814, 962, 641 on a calculator?

You can find the GCD of 676, 814, 962, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.