GCD of 758, 960, 48, 668 Calculator

Given Input numbers are 758, 960, 48, 668

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 758, 960, 48, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 960, 48, 668 is 2.

Therefore, GCD of numbers 758, 960, 48, 668 is 2

Given Input Data is 758, 960, 48, 668

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

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 668 is 2 x 2 x 167

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(758, 960) = 363840

GCD(758, 960) = ( 758 x 960 ) / 363840

GCD(758, 960) = 727680 / 363840

GCD(758, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 758, 960, 48, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 760, 79, 767
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1. What is the GCD of 758, 960, 48, 668?

GCD of 758, 960, 48, 668 is 2

2. Where do I get the detailed procedure to find GCD of 758, 960, 48, 668?

You can find a detailed procedure to find GCD of 758, 960, 48, 668 on our page.

3. How to find GCD of 758, 960, 48, 668 on a calculator?

You can find the GCD of 758, 960, 48, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.