GCD of 45, 753, 801, 975 Calculator

Given Input numbers are 45, 753, 801, 975

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 753

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

1, 3, 251, 753

Divisors of 801

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

1, 3, 9, 89, 267, 801

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 45, 753, 801, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 753, 801, 975 is 3.

Therefore, GCD of numbers 45, 753, 801, 975 is 3

Given Input Data is 45, 753, 801, 975

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 753 is 3 x 251

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(45, 753) = 11295

GCD(45, 753) = ( 45 x 753 ) / 11295

GCD(45, 753) = 33885 / 11295

GCD(45, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 801

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

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

GCD(3, 801) = 2403 / 801

GCD(3, 801) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

GCD of 45, 753, 801, 975 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 351, 997, 793
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• GCD of 11, 309, 748, 905

1. What is the GCD of 45, 753, 801, 975?

GCD of 45, 753, 801, 975 is 3

2. Where do I get the detailed procedure to find GCD of 45, 753, 801, 975?

You can find a detailed procedure to find GCD of 45, 753, 801, 975 on our page.

3. How to find GCD of 45, 753, 801, 975 on a calculator?

You can find the GCD of 45, 753, 801, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.