GCD of 106, 960, 67, 982 Calculator

Given Input numbers are 106, 960, 67, 982

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 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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 106, 960, 67, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 960, 67, 982 is 1.

Therefore, GCD of numbers 106, 960, 67, 982 is 1

Given Input Data is 106, 960, 67, 982

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

Prime Factorization of 106 is 2 x 53

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

Prime Factorization of 67 is 67

Prime Factorization of 982 is 2 x 491

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, 960) = 50880

GCD(106, 960) = ( 106 x 960 ) / 50880

GCD(106, 960) = 101760 / 50880

GCD(106, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 106, 960, 67, 982 is 1

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• GCD of 177, 400, 23, 206
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1. What is the GCD of 106, 960, 67, 982?

GCD of 106, 960, 67, 982 is 1

2. Where do I get the detailed procedure to find GCD of 106, 960, 67, 982?

You can find a detailed procedure to find GCD of 106, 960, 67, 982 on our page.

3. How to find GCD of 106, 960, 67, 982 on a calculator?

You can find the GCD of 106, 960, 67, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.