GCD of 14, 606, 742, 960 Calculator

Given Input numbers are 14, 606, 742, 960

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 14, 606, 742, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 606, 742, 960 is 2.

Therefore, GCD of numbers 14, 606, 742, 960 is 2

Given Input Data is 14, 606, 742, 960

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 742 is 2 x 7 x 53

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(14, 606) = 4242

GCD(14, 606) = ( 14 x 606 ) / 4242

GCD(14, 606) = 8484 / 4242

GCD(14, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 14, 606, 742, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 188, 923, 575
• GCD of 56, 532, 288, 350
• GCD of 65, 344, 954, 955
• GCD of 35, 779, 824, 252
• GCD of 26, 534, 219, 827

1. What is the GCD of 14, 606, 742, 960?

GCD of 14, 606, 742, 960 is 2

2. Where do I get the detailed procedure to find GCD of 14, 606, 742, 960?

You can find a detailed procedure to find GCD of 14, 606, 742, 960 on our page.

3. How to find GCD of 14, 606, 742, 960 on a calculator?

You can find the GCD of 14, 606, 742, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.