GCD of 960, 974, 28, 375 Calculator

Given Input numbers are 960, 974, 28, 375

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

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 375

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

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

Greatest Common Divisior

We found the divisors of 960, 974, 28, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 974, 28, 375 is 1.

Therefore, GCD of numbers 960, 974, 28, 375 is 1

Given Input Data is 960, 974, 28, 375

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

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 375 is 3 x 5 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(960, 974) = 467520

GCD(960, 974) = ( 960 x 974 ) / 467520

GCD(960, 974) = 935040 / 467520

GCD(960, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 375

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

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

GCD(2, 375) = 750 / 750

GCD(2, 375) = 1

GCD of 960, 974, 28, 375 is 1

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• GCD of 772, 630, 91, 147
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• GCD of 245, 616, 91, 659

1. What is the GCD of 960, 974, 28, 375?

GCD of 960, 974, 28, 375 is 1

2. Where do I get the detailed procedure to find GCD of 960, 974, 28, 375?

You can find a detailed procedure to find GCD of 960, 974, 28, 375 on our page.

3. How to find GCD of 960, 974, 28, 375 on a calculator?

You can find the GCD of 960, 974, 28, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.