GCD of 75, 750, 351, 480 Calculator

Given Input numbers are 75, 750, 351, 480

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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

Greatest Common Divisior

We found the divisors of 75, 750, 351, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 750, 351, 480 is 3.

Therefore, GCD of numbers 75, 750, 351, 480 is 3

Given Input Data is 75, 750, 351, 480

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(75, 750) = 750

GCD(75, 750) = ( 75 x 750 ) / 750

GCD(75, 750) = 56250 / 750

GCD(75, 750) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 351

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

LCM(75, 351) = 8775

GCD(75, 351) = ( 75 x 351 ) / 8775

GCD(75, 351) = 26325 / 8775

GCD(75, 351) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 480

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

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

GCD(3, 480) = 1440 / 480

GCD(3, 480) = 3

GCD of 75, 750, 351, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 561, 439, 229
• GCD of 56, 741, 229, 519
• GCD of 24, 137, 375, 122
• GCD of 54, 768, 478, 294
• GCD of 22, 468, 889, 668

1. What is the GCD of 75, 750, 351, 480?

GCD of 75, 750, 351, 480 is 3

2. Where do I get the detailed procedure to find GCD of 75, 750, 351, 480?

You can find a detailed procedure to find GCD of 75, 750, 351, 480 on our page.

3. How to find GCD of 75, 750, 351, 480 on a calculator?

You can find the GCD of 75, 750, 351, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.