GCD of 676, 106, 60, 127 Calculator

Given Input numbers are 676, 106, 60, 127

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Greatest Common Divisior

We found the divisors of 676, 106, 60, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 106, 60, 127 is 1.

Therefore, GCD of numbers 676, 106, 60, 127 is 1

Given Input Data is 676, 106, 60, 127

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 106 is 2 x 53

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 127 is 127

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, 106) = 35828

GCD(676, 106) = ( 676 x 106 ) / 35828

GCD(676, 106) = 71656 / 35828

GCD(676, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 127

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

LCM(2, 127) = 254

GCD(2, 127) = ( 2 x 127 ) / 254

GCD(2, 127) = 254 / 254

GCD(2, 127) = 1

GCD of 676, 106, 60, 127 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 212, 73, 293
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• GCD of 890, 941, 74, 725

1. What is the GCD of 676, 106, 60, 127?

GCD of 676, 106, 60, 127 is 1

2. Where do I get the detailed procedure to find GCD of 676, 106, 60, 127?

You can find a detailed procedure to find GCD of 676, 106, 60, 127 on our page.

3. How to find GCD of 676, 106, 60, 127 on a calculator?

You can find the GCD of 676, 106, 60, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.