GCD of 75, 801, 753, 387 Calculator

Given Input numbers are 75, 801, 753, 387

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 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 75, 801, 753, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 801, 753, 387 is 3.

Therefore, GCD of numbers 75, 801, 753, 387 is 3

Given Input Data is 75, 801, 753, 387

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 801 is 3 x 3 x 89

Prime Factorization of 753 is 3 x 251

Prime Factorization of 387 is 3 x 3 x 43

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, 801) = 20025

GCD(75, 801) = ( 75 x 801 ) / 20025

GCD(75, 801) = 60075 / 20025

GCD(75, 801) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 753

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

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

GCD(3, 753) = 2259 / 753

GCD(3, 753) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

GCD of 75, 801, 753, 387 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 190, 316, 807
• GCD of 34, 104, 838, 798
• GCD of 25, 622, 574, 642
• GCD of 22, 636, 459, 975
• GCD of 43, 200, 119, 921

1. What is the GCD of 75, 801, 753, 387?

GCD of 75, 801, 753, 387 is 3

2. Where do I get the detailed procedure to find GCD of 75, 801, 753, 387?

You can find a detailed procedure to find GCD of 75, 801, 753, 387 on our page.

3. How to find GCD of 75, 801, 753, 387 on a calculator?

You can find the GCD of 75, 801, 753, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.