GCD of 76, 704, 241, 960 Calculator

Given Input numbers are 76, 704, 241, 960

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

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 76, 704, 241, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 704, 241, 960 is 1.

Therefore, GCD of numbers 76, 704, 241, 960 is 1

Given Input Data is 76, 704, 241, 960

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 241 is 241

Prime Factorization of 960 is 2 x 2 x 2 x 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(76, 704) = 13376

GCD(76, 704) = ( 76 x 704 ) / 13376

GCD(76, 704) = 53504 / 13376

GCD(76, 704) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 241

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

LCM(4, 241) = 964

GCD(4, 241) = ( 4 x 241 ) / 964

GCD(4, 241) = 964 / 964

GCD(4, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 76, 704, 241, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 994, 524, 299
• GCD of 79, 743, 985, 817
• GCD of 91, 631, 556, 731
• GCD of 10, 215, 870, 427
• GCD of 29, 256, 900, 659

1. What is the GCD of 76, 704, 241, 960?

GCD of 76, 704, 241, 960 is 1

2. Where do I get the detailed procedure to find GCD of 76, 704, 241, 960?

You can find a detailed procedure to find GCD of 76, 704, 241, 960 on our page.

3. How to find GCD of 76, 704, 241, 960 on a calculator?

You can find the GCD of 76, 704, 241, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.