GCD of 679, 960, 74, 914 Calculator

Given Input numbers are 679, 960, 74, 914

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 679, 960, 74, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 960, 74, 914 is 1.

Therefore, GCD of numbers 679, 960, 74, 914 is 1

Given Input Data is 679, 960, 74, 914

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

Prime Factorization of 679 is 7 x 97

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 914 is 2 x 457

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(679, 960) = 651840

GCD(679, 960) = ( 679 x 960 ) / 651840

GCD(679, 960) = 651840 / 651840

GCD(679, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 679, 960, 74, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 272, 72, 199
• GCD of 214, 773, 27, 107
• GCD of 904, 517, 74, 486
• GCD of 986, 632, 68, 578
• GCD of 330, 718, 35, 544

1. What is the GCD of 679, 960, 74, 914?

GCD of 679, 960, 74, 914 is 1

2. Where do I get the detailed procedure to find GCD of 679, 960, 74, 914?

You can find a detailed procedure to find GCD of 679, 960, 74, 914 on our page.

3. How to find GCD of 679, 960, 74, 914 on a calculator?

You can find the GCD of 679, 960, 74, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.