Greatest Common Factor of 448/279, 7336/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/279, 7336/785

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 448/279,7336/785

Given fractions are 448/279,7336/785

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 448,7336

Greatest Common Factor of Numerators i.e. GCF of 448,7336 is 56 .

LCM of Denominators means LCM of 279,785 as per the given fractions.

LCM of 279,785 is 219015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,7336

GCF of Fractions 448/279,7336/785 is 56/219015

2 448, 7336
2 224, 3668
2 112, 1834
7 56, 917
8, 131

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 448,7336 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,7336 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 7336

List of positive integer factors of 7336 that divides 7336 without a remainder.

1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336

Greatest Common Factor

We found the factors 448,7336 . The biggest common factor number is the GCF number.
So the greatest common factor 448,7336 is 56.

Lets's calculate LCM of 279,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 219015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/219015

Therefore, the GCF of Fractions 448/279,7336/785 is 56/219015

Least Common Multiple of 279,785 with GCF Formula

Least Common Multiple of 279,785 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 279,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,785) = 1

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

GCF(279,785) x common factors =1 x 1 = 1

LCM(279,785) = ( 279 × 785 ) / 1

LCM(279,785) = 219015 / 1

LCM(279,785) = 219015


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 448/279, 7336/785

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 448/279, 7336/785?

Answer: GCF of Numerators as per given numbers 448/279, 7336/785 is

GCF of Numerators i.e. for 448,7336 is 56

LCM of denominators i.e. for 279,785 is 219015.

Thus, GCF of Fractions is 56/219015.Finally, GCF of Fractions for 448/279, 7336/785 is 56/219015.