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GCD of 907, 584, 728, 385 Calculator

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


Online GCD Calculator is useful to find the GCD of 907, 584, 728, 385 quickly. Get the easiest ways to solve the greatest common divisor of 907, 584, 728, 385 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 907, 584, 728, 385 with Factoring?

Given Input numbers are 907, 584, 728, 385

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

Divisors of 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 385 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (907, 584, 728, 385) = 1.

Find GCD of 907, 584, 728, 385 using Prime Factorization

Given numbers are 907, 584, 728, 385

The list of prime factors of all numbers are

Prime factors of 907 are 907

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 385 are 5 x 7 x 11

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

Steps to Calculate GCD of 907, 584, 728, 385 using LCM Formula

Given numbers are 907, 584, 728, 385

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

Apply this formula for all numbers.

Step1:

LCM(907, 584) = 529688

GCD(907, 584) = ( 907 x 584 ) / 529688

= 907 / 584

= 907


Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1


Step3:

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

= 1 / 385

= 1


So, Greatest Common Divisor of 907, 584, 728, 385 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 907, 584, 728, 385

Given numbers are 907, 584, 728, 385
The greatest common divisor of numbers 907, 584, 728, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 907, 584, 728, 385 is 1.

FAQs on GCD of 907, 584, 728, 385 Calculator

1. What is the GCD of 907, 584, 728, 385?

GCD of given numbers 907, 584, 728, 385 is 1


2. How to calculate the greatest common divisor of 907, 584, 728, 385?

We can find the highest common divisor of 907, 584, 728, 385 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 907, 584, 728, 385 i.e 1.


3. How can I use the GCD of 907, 584, 728, 385Calculator?

Out the numbers 907, 584, 728, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.