Greatest Common Factor of 448/39, 561/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/39, 561/3920

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 448/39,561/3920

Given fractions are 448/39,561/3920

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 448,561

Greatest Common Factor of Numerators i.e. GCF of 448,561 is 1 .

LCM of Denominators means LCM of 39,3920 as per the given fractions.

LCM of 39,3920 is 152880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,561

GCF of Fractions 448/39,561/3920 is 1/152880

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

Greatest Common Factor of 448,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,561 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 448,561 . The biggest common factor number is the GCF number.
So the greatest common factor 448,561 is 1.

Lets's calculate LCM of 39,3920

Given numbers has no common factors except 1. So, there LCM is their product i.e 152880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152880

Therefore, the GCF of Fractions 448/39,561/3920 is 1/152880

Least Common Multiple of 39,3920 with GCF Formula

Least Common Multiple of 39,3920 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 39,3920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,3920) = 1

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

GCF(39,3920) x common factors =1 x 1 = 1

LCM(39,3920) = ( 39 × 3920 ) / 1

LCM(39,3920) = 152880 / 1

LCM(39,3920) = 152880


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 448/39, 561/3920

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 448/39, 561/3920?

Answer: GCF of Numerators as per given numbers 448/39, 561/3920 is

GCF of Numerators i.e. for 448,561 is 1

LCM of denominators i.e. for 39,3920 is 152880.

Thus, GCF of Fractions is 1/152880.Finally, GCF of Fractions for 448/39, 561/3920 is 1/152880.