GCD of 766, 962, 14, 675 Calculator

Given Input numbers are 766, 962, 14, 675

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 14

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

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 766, 962, 14, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 962, 14, 675 is 1.

Therefore, GCD of numbers 766, 962, 14, 675 is 1

Given Input Data is 766, 962, 14, 675

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 14 is 2 x 7

Prime Factorization of 675 is 3 x 3 x 3 x 5 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(766, 962) = 368446

GCD(766, 962) = ( 766 x 962 ) / 368446

GCD(766, 962) = 736892 / 368446

GCD(766, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 766, 962, 14, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 864, 29, 691
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• GCD of 833, 420, 64, 530

1. What is the GCD of 766, 962, 14, 675?

GCD of 766, 962, 14, 675 is 1

2. Where do I get the detailed procedure to find GCD of 766, 962, 14, 675?

You can find a detailed procedure to find GCD of 766, 962, 14, 675 on our page.

3. How to find GCD of 766, 962, 14, 675 on a calculator?

You can find the GCD of 766, 962, 14, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.