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GCD of 240, 736, 28, 497 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 240, 736, 28, 497 quickly. Get the easiest ways to solve the greatest common divisor of 240, 736, 28, 497 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 736, 28, 497 with Factoring?

Given Input numbers are 240, 736, 28, 497

In the factoring method, we have to find the divisors of all numbers

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497


GCD of numbers is the greatest common divisor

So, the GCD (240, 736, 28, 497) = 1.

Find GCD of 240, 736, 28, 497 using Prime Factorization

Given numbers are 240, 736, 28, 497

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 28 are 2 x 2 x 7

Prime factors of 497 are 7 x 71

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

Steps to Calculate GCD of 240, 736, 28, 497 using LCM Formula

Given numbers are 240, 736, 28, 497

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(240, 736) = 11040

GCD(240, 736) = ( 240 x 736 ) / 11040

= 240 / 736

= 240


Step2:

LCM(16, 28) = 112

GCD(16, 28) = ( 16 x 28 ) / 112

= 16 / 28

= 16


Step3:

LCM(4, 497) = 1988

GCD(4, 497) = ( 4 x 497 ) / 1988

= 4 / 497

= 4


So, Greatest Common Divisor of 240, 736, 28, 497 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 736, 28, 497

Given numbers are 240, 736, 28, 497
The greatest common divisor of numbers 240, 736, 28, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 736, 28, 497 is 1.

FAQs on GCD of 240, 736, 28, 497 Calculator

1. What is the GCD of 240, 736, 28, 497?

GCD of given numbers 240, 736, 28, 497 is 1


2. How to calculate the greatest common divisor of 240, 736, 28, 497?

We can find the highest common divisor of 240, 736, 28, 497 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 240, 736, 28, 497 i.e 1.


3. How can I use the GCD of 240, 736, 28, 497Calculator?

Out the numbers 240, 736, 28, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.