Greatest Common Factor of 728/4215, 765/1771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/4215, 765/1771

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 728/4215,765/1771

Given fractions are 728/4215,765/1771

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 728,765

Greatest Common Factor of Numerators i.e. GCF of 728,765 is 1 .

LCM of Denominators means LCM of 4215,1771 as per the given fractions.

LCM of 4215,1771 is 7464765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,765

GCF of Fractions 728/4215,765/1771 is 1/7464765

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 728,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,765 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

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

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 728,765 . The biggest common factor number is the GCF number.
So the greatest common factor 728,765 is 1.

Lets's calculate LCM of 4215,1771

Given numbers has no common factors except 1. So, there LCM is their product i.e 7464765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7464765

Therefore, the GCF of Fractions 728/4215,765/1771 is 1/7464765

Least Common Multiple of 4215,1771 with GCF Formula

Least Common Multiple of 4215,1771 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4215,1771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4215,1771) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4215,1771) x common factors =1 x 1 = 1

LCM(4215,1771) = ( 4215 × 1771 ) / 1

LCM(4215,1771) = 7464765 / 1

LCM(4215,1771) = 7464765


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 728/4215, 765/1771

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 728/4215, 765/1771?

Answer: GCF of Numerators as per given numbers 728/4215, 765/1771 is

GCF of Numerators i.e. for 728,765 is 1

LCM of denominators i.e. for 4215,1771 is 7464765.

Thus, GCF of Fractions is 1/7464765.Finally, GCF of Fractions for 728/4215, 765/1771 is 1/7464765.