GCD of 753, 867, 45, 210 Calculator

Given Input numbers are 753, 867, 45, 210

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

Divisors of 753

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

1, 3, 251, 753

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 753, 867, 45, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 867, 45, 210 is 3.

Therefore, GCD of numbers 753, 867, 45, 210 is 3

Given Input Data is 753, 867, 45, 210

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(753, 867) = 217617

GCD(753, 867) = ( 753 x 867 ) / 217617

GCD(753, 867) = 652851 / 217617

GCD(753, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 210

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

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

GCD(3, 210) = 630 / 210

GCD(3, 210) = 3

GCD of 753, 867, 45, 210 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 224, 79, 688
• GCD of 851, 671, 38, 296
• GCD of 840, 869, 42, 489
• GCD of 115, 817, 28, 218
• GCD of 189, 543, 44, 283

1. What is the GCD of 753, 867, 45, 210?

GCD of 753, 867, 45, 210 is 3

2. Where do I get the detailed procedure to find GCD of 753, 867, 45, 210?

You can find a detailed procedure to find GCD of 753, 867, 45, 210 on our page.

3. How to find GCD of 753, 867, 45, 210 on a calculator?

You can find the GCD of 753, 867, 45, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.