Greatest Common Factor of 335/872, 7303/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/872, 7303/350

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 335/872,7303/350

Given fractions are 335/872,7303/350

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 335,7303

Greatest Common Factor of Numerators i.e. GCF of 335,7303 is 67 .

LCM of Denominators means LCM of 872,350 as per the given fractions.

LCM of 872,350 is 152600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,7303

GCF of Fractions 335/872,7303/350 is 67/152600

67 335, 7303
5, 109

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 335,7303 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,7303 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 7303

List of positive integer factors of 7303 that divides 7303 without a remainder.

1,67,109,7303

Greatest Common Factor

We found the factors 335,7303 . The biggest common factor number is the GCF number.
So the greatest common factor 335,7303 is 67.

Lets's calculate LCM of 872,350

2 872, 350
436, 175

∴ So the LCM of the given numbers is 2 x 436 x 175 = 152600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/152600

Therefore, the GCF of Fractions 335/872,7303/350 is 67/152600

Least Common Multiple of 872,350 with GCF Formula

Least Common Multiple of 872,350 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 872,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,350) = 2

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

GCF(872,350) x common factors =2 x 1 = 2

LCM(872,350) = ( 872 × 350 ) / 2

LCM(872,350) = 305200 / 2

LCM(872,350) = 152600


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 335/872, 7303/350

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 335/872, 7303/350?

Answer: GCF of Numerators as per given numbers 335/872, 7303/350 is

GCF of Numerators i.e. for 335,7303 is 67

LCM of denominators i.e. for 872,350 is 152600.

Thus, GCF of Fractions is 67/152600.Finally, GCF of Fractions for 335/872, 7303/350 is 67/152600.