GCD of 584, 480, 75, 971 Calculator

Given Input numbers are 584, 480, 75, 971

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 584, 480, 75, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 480, 75, 971 is 1.

Therefore, GCD of numbers 584, 480, 75, 971 is 1

Given Input Data is 584, 480, 75, 971

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 971 is 971

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(584, 480) = 35040

GCD(584, 480) = ( 584 x 480 ) / 35040

GCD(584, 480) = 280320 / 35040

GCD(584, 480) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 75

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

LCM(8, 75) = 600

GCD(8, 75) = ( 8 x 75 ) / 600

GCD(8, 75) = 600 / 600

GCD(8, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 584, 480, 75, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 784, 57, 304
• GCD of 127, 844, 95, 947
• GCD of 282, 572, 25, 184
• GCD of 157, 208, 43, 247
• GCD of 859, 265, 27, 950

1. What is the GCD of 584, 480, 75, 971?

GCD of 584, 480, 75, 971 is 1

2. Where do I get the detailed procedure to find GCD of 584, 480, 75, 971?

You can find a detailed procedure to find GCD of 584, 480, 75, 971 on our page.

3. How to find GCD of 584, 480, 75, 971 on a calculator?

You can find the GCD of 584, 480, 75, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.