GCD of 676, 538, 55, 960 Calculator

Given Input numbers are 676, 538, 55, 960

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 676, 538, 55, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 538, 55, 960 is 1.

Therefore, GCD of numbers 676, 538, 55, 960 is 1

Given Input Data is 676, 538, 55, 960

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 538 is 2 x 269

Prime Factorization of 55 is 5 x 11

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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, 538) = 181844

GCD(676, 538) = ( 676 x 538 ) / 181844

GCD(676, 538) = 363688 / 181844

GCD(676, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 676, 538, 55, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 687, 33, 662
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• GCD of 420, 844, 55, 250

1. What is the GCD of 676, 538, 55, 960?

GCD of 676, 538, 55, 960 is 1

2. Where do I get the detailed procedure to find GCD of 676, 538, 55, 960?

You can find a detailed procedure to find GCD of 676, 538, 55, 960 on our page.

3. How to find GCD of 676, 538, 55, 960 on a calculator?

You can find the GCD of 676, 538, 55, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.