GCD of 284, 675, 48, 967 Calculator

Given Input numbers are 284, 675, 48, 967

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 284, 675, 48, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 675, 48, 967 is 1.

Therefore, GCD of numbers 284, 675, 48, 967 is 1

Given Input Data is 284, 675, 48, 967

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

Prime Factorization of 284 is 2 x 2 x 71

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

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

Prime Factorization of 967 is 967

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(284, 675) = 191700

GCD(284, 675) = ( 284 x 675 ) / 191700

GCD(284, 675) = 191700 / 191700

GCD(284, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 284, 675, 48, 967 is 1

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1. What is the GCD of 284, 675, 48, 967?

GCD of 284, 675, 48, 967 is 1

2. Where do I get the detailed procedure to find GCD of 284, 675, 48, 967?

You can find a detailed procedure to find GCD of 284, 675, 48, 967 on our page.

3. How to find GCD of 284, 675, 48, 967 on a calculator?

You can find the GCD of 284, 675, 48, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.