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GCD of 928, 728, 342, 767 Calculator

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


Online GCD Calculator is useful to find the GCD of 928, 728, 342, 767 quickly. Get the easiest ways to solve the greatest common divisor of 928, 728, 342, 767 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 928, 728, 342, 767 with Factoring?

Given Input numbers are 928, 728, 342, 767

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767


GCD of numbers is the greatest common divisor

So, the GCD (928, 728, 342, 767) = 1.

Find GCD of 928, 728, 342, 767 using Prime Factorization

Given numbers are 928, 728, 342, 767

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 767 are 13 x 59

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

Steps to Calculate GCD of 928, 728, 342, 767 using LCM Formula

Given numbers are 928, 728, 342, 767

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

Apply this formula for all numbers.

Step1:

LCM(928, 728) = 84448

GCD(928, 728) = ( 928 x 728 ) / 84448

= 928 / 728

= 928


Step2:

LCM(8, 342) = 1368

GCD(8, 342) = ( 8 x 342 ) / 1368

= 8 / 342

= 8


Step3:

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

= 2 / 767

= 2


So, Greatest Common Divisor of 928, 728, 342, 767 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 928, 728, 342, 767

Given numbers are 928, 728, 342, 767
The greatest common divisor of numbers 928, 728, 342, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 728, 342, 767 is 1.

FAQs on GCD of 928, 728, 342, 767 Calculator

1. What is the GCD of 928, 728, 342, 767?

GCD of given numbers 928, 728, 342, 767 is 1


2. How to calculate the greatest common divisor of 928, 728, 342, 767?

We can find the highest common divisor of 928, 728, 342, 767 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 928, 728, 342, 767 i.e 1.


3. How can I use the GCD of 928, 728, 342, 767Calculator?

Out the numbers 928, 728, 342, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.