Greatest Common Factor of 115/912, 3390/8010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/912, 3390/8010

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 115/912,3390/8010

Given fractions are 115/912,3390/8010

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 115,3390

Greatest Common Factor of Numerators i.e. GCF of 115,3390 is 5 .

LCM of Denominators means LCM of 912,8010 as per the given fractions.

LCM of 912,8010 is 1217520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,3390

GCF of Fractions 115/912,3390/8010 is 5/1217520

5 115, 3390
23, 678

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

Greatest Common Factor of 115,3390 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,3390 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Greatest Common Factor

We found the factors 115,3390 . The biggest common factor number is the GCF number.
So the greatest common factor 115,3390 is 5.

Lets's calculate LCM of 912,8010

2 912, 8010
3 456, 4005
152, 1335

∴ So the LCM of the given numbers is 2 x 3 x 152 x 1335 = 1217520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1217520

Therefore, the GCF of Fractions 115/912,3390/8010 is 5/1217520

Least Common Multiple of 912,8010 with GCF Formula

Least Common Multiple of 912,8010 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 912,8010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,8010) = 6

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

GCF(912,8010) x common factors =6 x 1 = 6

LCM(912,8010) = ( 912 × 8010 ) / 6

LCM(912,8010) = 7305120 / 6

LCM(912,8010) = 1217520


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 115/912, 3390/8010

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 115/912, 3390/8010?

Answer: GCF of Numerators as per given numbers 115/912, 3390/8010 is

GCF of Numerators i.e. for 115,3390 is 5

LCM of denominators i.e. for 912,8010 is 1217520.

Thus, GCF of Fractions is 5/1217520.Finally, GCF of Fractions for 115/912, 3390/8010 is 5/1217520.