Greatest Common Factor of 245/784, 8720/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/784, 8720/726

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 245/784,8720/726

Given fractions are 245/784,8720/726

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 245,8720

Greatest Common Factor of Numerators i.e. GCF of 245,8720 is 5 .

LCM of Denominators means LCM of 784,726 as per the given fractions.

LCM of 784,726 is 284592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,8720

GCF of Fractions 245/784,8720/726 is 5/284592

5 245, 8720
49, 1744

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 245,8720 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,8720 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Greatest Common Factor

We found the factors 245,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 245,8720 is 5.

Lets's calculate LCM of 784,726

2 784, 726
392, 363

∴ So the LCM of the given numbers is 2 x 392 x 363 = 284592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/284592

Therefore, the GCF of Fractions 245/784,8720/726 is 5/284592

Least Common Multiple of 784,726 with GCF Formula

Least Common Multiple of 784,726 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 784,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,726) = 2

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

GCF(784,726) x common factors =2 x 1 = 2

LCM(784,726) = ( 784 × 726 ) / 2

LCM(784,726) = 569184 / 2

LCM(784,726) = 284592


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 245/784, 8720/726

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 245/784, 8720/726?

Answer: GCF of Numerators as per given numbers 245/784, 8720/726 is

GCF of Numerators i.e. for 245,8720 is 5

LCM of denominators i.e. for 784,726 is 284592.

Thus, GCF of Fractions is 5/284592.Finally, GCF of Fractions for 245/784, 8720/726 is 5/284592.