Greatest Common Factor of 335/717, 8120/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/717, 8120/123

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 335/717,8120/123

Given fractions are 335/717,8120/123

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 335,8120

Greatest Common Factor of Numerators i.e. GCF of 335,8120 is 5 .

LCM of Denominators means LCM of 717,123 as per the given fractions.

LCM of 717,123 is 29397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,8120

GCF of Fractions 335/717,8120/123 is 5/29397

5 335, 8120
67, 1624

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

Greatest Common Factor of 335,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,8120 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 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors 335,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 335,8120 is 5.

Lets's calculate LCM of 717,123

3 717, 123
239, 41

∴ So the LCM of the given numbers is 3 x 239 x 41 = 29397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29397

Therefore, the GCF of Fractions 335/717,8120/123 is 5/29397

Least Common Multiple of 717,123 with GCF Formula

Least Common Multiple of 717,123 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 717,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,123) = 3

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

GCF(717,123) x common factors =3 x 1 = 3

LCM(717,123) = ( 717 × 123 ) / 3

LCM(717,123) = 88191 / 3

LCM(717,123) = 29397


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 335/717, 8120/123

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 335/717, 8120/123?

Answer: GCF of Numerators as per given numbers 335/717, 8120/123 is

GCF of Numerators i.e. for 335,8120 is 5

LCM of denominators i.e. for 717,123 is 29397.

Thus, GCF of Fractions is 5/29397.Finally, GCF of Fractions for 335/717, 8120/123 is 5/29397.