GCD of 768, 640, 375, 160 Calculator

Given Input numbers are 768, 640, 375, 160

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 768, 640, 375, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 640, 375, 160 is 1.

Therefore, GCD of numbers 768, 640, 375, 160 is 1

Given Input Data is 768, 640, 375, 160

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 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(768, 640) = 3840

GCD(768, 640) = ( 768 x 640 ) / 3840

GCD(768, 640) = 491520 / 3840

GCD(768, 640) = 128

Step2:

Here we consider the GCD from the above i.e. 128 as first number and the next as 375

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

LCM(128, 375) = 48000

GCD(128, 375) = ( 128 x 375 ) / 48000

GCD(128, 375) = 48000 / 48000

GCD(128, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 768, 640, 375, 160 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 768, 640, 375, 160?

GCD of 768, 640, 375, 160 is 1

2. Where do I get the detailed procedure to find GCD of 768, 640, 375, 160?

You can find a detailed procedure to find GCD of 768, 640, 375, 160 on our page.

3. How to find GCD of 768, 640, 375, 160 on a calculator?

You can find the GCD of 768, 640, 375, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.