GCD of 106, 830, 77, 120 Calculator

Given Input numbers are 106, 830, 77, 120

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 106, 830, 77, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 830, 77, 120 is 1.

Therefore, GCD of numbers 106, 830, 77, 120 is 1

Given Input Data is 106, 830, 77, 120

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 77 is 7 x 11

Prime Factorization of 120 is 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(106, 830) = 43990

GCD(106, 830) = ( 106 x 830 ) / 43990

GCD(106, 830) = 87980 / 43990

GCD(106, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 106, 830, 77, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 275, 64, 431
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• GCD of 845, 677, 62, 161

1. What is the GCD of 106, 830, 77, 120?

GCD of 106, 830, 77, 120 is 1

2. Where do I get the detailed procedure to find GCD of 106, 830, 77, 120?

You can find a detailed procedure to find GCD of 106, 830, 77, 120 on our page.

3. How to find GCD of 106, 830, 77, 120 on a calculator?

You can find the GCD of 106, 830, 77, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.