Greatest Common Factor of 728/329, 1677/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/329, 1677/680

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 728/329,1677/680

Given fractions are 728/329,1677/680

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 728,1677

Greatest Common Factor of Numerators i.e. GCF of 728,1677 is 13 .

LCM of Denominators means LCM of 329,680 as per the given fractions.

LCM of 329,680 is 223720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,1677

GCF of Fractions 728/329,1677/680 is 13/223720

13 728, 1677
56, 129

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 728,1677 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,1677 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 1677

List of positive integer factors of 1677 that divides 1677 without a remainder.

1,3,13,39,43,129,559,1677

Greatest Common Factor

We found the factors 728,1677 . The biggest common factor number is the GCF number.
So the greatest common factor 728,1677 is 13.

Lets's calculate LCM of 329,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 223720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/223720

Therefore, the GCF of Fractions 728/329,1677/680 is 13/223720

Least Common Multiple of 329,680 with GCF Formula

Least Common Multiple of 329,680 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 329,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,680) = 1

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

GCF(329,680) x common factors =1 x 1 = 1

LCM(329,680) = ( 329 × 680 ) / 1

LCM(329,680) = 223720 / 1

LCM(329,680) = 223720


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 728/329, 1677/680

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 728/329, 1677/680?

Answer: GCF of Numerators as per given numbers 728/329, 1677/680 is

GCF of Numerators i.e. for 728,1677 is 13

LCM of denominators i.e. for 329,680 is 223720.

Thus, GCF of Fractions is 13/223720.Finally, GCF of Fractions for 728/329, 1677/680 is 13/223720.