GCD of 720, 735, 291 Calculator

Given Input numbers are 720, 735, 291

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 720, 735, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 735, 291 is 3.

Therefore, GCD of numbers 720, 735, 291 is 3

Given Input Data is 720, 735, 291

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 291 is 3 x 97

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(720, 735) = 35280

GCD(720, 735) = ( 720 x 735 ) / 35280

GCD(720, 735) = 529200 / 35280

GCD(720, 735) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 291

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

LCM(15, 291) = 1455

GCD(15, 291) = ( 15 x 291 ) / 1455

GCD(15, 291) = 4365 / 1455

GCD(15, 291) = 3

GCD of 720, 735, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 747, 749
• GCD of 965, 566, 563
• GCD of 999, 339, 966
• GCD of 797, 480, 976
• GCD of 208, 940, 813

1. What is the GCD of 720, 735, 291?

GCD of 720, 735, 291 is 3

2. Where do I get the detailed procedure to find GCD of 720, 735, 291?

You can find a detailed procedure to find GCD of 720, 735, 291 on our page.

3. How to find GCD of 720, 735, 291 on a calculator?

You can find the GCD of 720, 735, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.