Greatest Common Factor of 669/407, 728/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 669/407, 728/352

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 669/407,728/352

Given fractions are 669/407,728/352

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 669,728

Greatest Common Factor of Numerators i.e. GCF of 669,728 is 1 .

LCM of Denominators means LCM of 407,352 as per the given fractions.

LCM of 407,352 is 13024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 669,728

GCF of Fractions 669/407,728/352 is 1/13024

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

Greatest Common Factor of 669,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,728 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

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

Greatest Common Factor

We found the factors 669,728 . The biggest common factor number is the GCF number.
So the greatest common factor 669,728 is 1.

Lets's calculate LCM of 407,352

11 407, 352
37, 32

∴ So the LCM of the given numbers is 11 x 37 x 32 = 13024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13024

Therefore, the GCF of Fractions 669/407,728/352 is 1/13024

Least Common Multiple of 407,352 with GCF Formula

Least Common Multiple of 407,352 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 407,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,352) = 11

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

GCF(407,352) x common factors =11 x 1 = 11

LCM(407,352) = ( 407 × 352 ) / 11

LCM(407,352) = 143264 / 11

LCM(407,352) = 13024


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 669/407, 728/352

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 669/407, 728/352?

Answer: GCF of Numerators as per given numbers 669/407, 728/352 is

GCF of Numerators i.e. for 669,728 is 1

LCM of denominators i.e. for 407,352 is 13024.

Thus, GCF of Fractions is 1/13024.Finally, GCF of Fractions for 669/407, 728/352 is 1/13024.