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GCD of 385, 731, 565, 240 Calculator

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


Online GCD Calculator is useful to find the GCD of 385, 731, 565, 240 quickly. Get the easiest ways to solve the greatest common divisor of 385, 731, 565, 240 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 385, 731, 565, 240 with Factoring?

Given Input numbers are 385, 731, 565, 240

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

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


GCD of numbers is the greatest common divisor

So, the GCD (385, 731, 565, 240) = 1.

Find GCD of 385, 731, 565, 240 using Prime Factorization

Given numbers are 385, 731, 565, 240

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 731 are 17 x 43

Prime factors of 565 are 5 x 113

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

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

Steps to Calculate GCD of 385, 731, 565, 240 using LCM Formula

Given numbers are 385, 731, 565, 240

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

Apply this formula for all numbers.

Step1:

LCM(385, 731) = 281435

GCD(385, 731) = ( 385 x 731 ) / 281435

= 385 / 731

= 385


Step2:

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

= 1 / 565

= 1


Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


So, Greatest Common Divisor of 385, 731, 565, 240 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 385, 731, 565, 240

Given numbers are 385, 731, 565, 240
The greatest common divisor of numbers 385, 731, 565, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 731, 565, 240 is 1.

FAQs on GCD of 385, 731, 565, 240 Calculator

1. What is the GCD of 385, 731, 565, 240?

GCD of given numbers 385, 731, 565, 240 is 1


2. How to calculate the greatest common divisor of 385, 731, 565, 240?

We can find the highest common divisor of 385, 731, 565, 240 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 385, 731, 565, 240 i.e 1.


3. How can I use the GCD of 385, 731, 565, 240Calculator?

Out the numbers 385, 731, 565, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.