GCD of 240, 280, 320, 739 Calculator

Given Input numbers are 240, 280, 320, 739

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 240, 280, 320, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 280, 320, 739 is 1.

Therefore, GCD of numbers 240, 280, 320, 739 is 1

Given Input Data is 240, 280, 320, 739

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 739 is 739

The above numbers do not have any common prime factor. So GCD is 1

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(240, 280) = 1680

GCD(240, 280) = ( 240 x 280 ) / 1680

GCD(240, 280) = 67200 / 1680

GCD(240, 280) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 320

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

LCM(40, 320) = 320

GCD(40, 320) = ( 40 x 320 ) / 320

GCD(40, 320) = 12800 / 320

GCD(40, 320) = 40

Step3:

Here we consider the GCD from the above i.e. 40 as first number and the next as 739

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

LCM(40, 739) = 29560

GCD(40, 739) = ( 40 x 739 ) / 29560

GCD(40, 739) = 29560 / 29560

GCD(40, 739) = 1

GCD of 240, 280, 320, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 338, 497, 627
• GCD of 508, 106, 781, 227
• GCD of 345, 104, 622, 927
• GCD of 728, 991, 305, 581
• GCD of 544, 989, 565, 554

1. What is the GCD of 240, 280, 320, 739?

GCD of 240, 280, 320, 739 is 1

2. Where do I get the detailed procedure to find GCD of 240, 280, 320, 739?

You can find a detailed procedure to find GCD of 240, 280, 320, 739 on our page.

3. How to find GCD of 240, 280, 320, 739 on a calculator?

You can find the GCD of 240, 280, 320, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.