GCD of 741, 753, 921, 390 Calculator

Given Input numbers are 741, 753, 921, 390

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 753

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

1, 3, 251, 753

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 741, 753, 921, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 753, 921, 390 is 3.

Therefore, GCD of numbers 741, 753, 921, 390 is 3

Given Input Data is 741, 753, 921, 390

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 753 is 3 x 251

Prime Factorization of 921 is 3 x 307

Prime Factorization of 390 is 2 x 3 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(741, 753) = 185991

GCD(741, 753) = ( 741 x 753 ) / 185991

GCD(741, 753) = 557973 / 185991

GCD(741, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 921

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

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

GCD(3, 921) = 2763 / 921

GCD(3, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 390

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

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

GCD(3, 390) = 1170 / 390

GCD(3, 390) = 3

GCD of 741, 753, 921, 390 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 237, 926, 608
• GCD of 842, 749, 414, 380
• GCD of 921, 535, 810, 593
• GCD of 369, 273, 603, 354
• GCD of 572, 765, 904, 112

1. What is the GCD of 741, 753, 921, 390?

GCD of 741, 753, 921, 390 is 3

2. Where do I get the detailed procedure to find GCD of 741, 753, 921, 390?

You can find a detailed procedure to find GCD of 741, 753, 921, 390 on our page.

3. How to find GCD of 741, 753, 921, 390 on a calculator?

You can find the GCD of 741, 753, 921, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.