GCD of 976, 440, 675, 756 Calculator

Given Input numbers are 976, 440, 675, 756

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 976, 440, 675, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 440, 675, 756 is 1.

Therefore, GCD of numbers 976, 440, 675, 756 is 1

Given Input Data is 976, 440, 675, 756

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(976, 440) = 53680

GCD(976, 440) = ( 976 x 440 ) / 53680

GCD(976, 440) = 429440 / 53680

GCD(976, 440) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 675

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

LCM(8, 675) = 5400

GCD(8, 675) = ( 8 x 675 ) / 5400

GCD(8, 675) = 5400 / 5400

GCD(8, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 976, 440, 675, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 917, 648, 440
• GCD of 356, 768, 924, 688
• GCD of 710, 299, 803, 514
• GCD of 191, 639, 171, 325
• GCD of 223, 323, 254, 407

1. What is the GCD of 976, 440, 675, 756?

GCD of 976, 440, 675, 756 is 1

2. Where do I get the detailed procedure to find GCD of 976, 440, 675, 756?

You can find a detailed procedure to find GCD of 976, 440, 675, 756 on our page.

3. How to find GCD of 976, 440, 675, 756 on a calculator?

You can find the GCD of 976, 440, 675, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.