GCD of 106, 120, 779, 157 Calculator

Given Input numbers are 106, 120, 779, 157

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

Divisors of 106

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

1, 2, 53, 106

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 106, 120, 779, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 120, 779, 157 is 1.

Therefore, GCD of numbers 106, 120, 779, 157 is 1

Given Input Data is 106, 120, 779, 157

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 779 is 19 x 41

Prime Factorization of 157 is 157

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(106, 120) = 6360

GCD(106, 120) = ( 106 x 120 ) / 6360

GCD(106, 120) = 12720 / 6360

GCD(106, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 106, 120, 779, 157 is 1

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• GCD of 538, 667, 203, 555
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1. What is the GCD of 106, 120, 779, 157?

GCD of 106, 120, 779, 157 is 1

2. Where do I get the detailed procedure to find GCD of 106, 120, 779, 157?

You can find a detailed procedure to find GCD of 106, 120, 779, 157 on our page.

3. How to find GCD of 106, 120, 779, 157 on a calculator?

You can find the GCD of 106, 120, 779, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.