Greatest Common Factor of 8195/80, 3500/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8195/80, 3500/305

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 8195/80,3500/305

Given fractions are 8195/80,3500/305

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 8195,3500

Greatest Common Factor of Numerators i.e. GCF of 8195,3500 is 5 .

LCM of Denominators means LCM of 80,305 as per the given fractions.

LCM of 80,305 is 4880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8195,3500

GCF of Fractions 8195/80,3500/305 is 5/4880

5 8195, 3500
1639, 700

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

Greatest Common Factor of 8195,3500 By Matching Biggest Common Factor Method

Greatest Common Factor of 8195,3500 By Matching Biggest Common Factor Method

Factors of 8195

List of positive integer factors of 8195 that divides 8195 without a remainder.

1,5,11,55,149,745,1639,8195

Factors of 3500

List of positive integer factors of 3500 that divides 3500 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500

Greatest Common Factor

We found the factors 8195,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 8195,3500 is 5.

Lets's calculate LCM of 80,305

5 80, 305
16, 61

∴ So the LCM of the given numbers is 5 x 16 x 61 = 4880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4880

Therefore, the GCF of Fractions 8195/80,3500/305 is 5/4880

Least Common Multiple of 80,305 with GCF Formula

Least Common Multiple of 80,305 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 80,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,305) = 5

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

GCF(80,305) x common factors =5 x 1 = 5

LCM(80,305) = ( 80 × 305 ) / 5

LCM(80,305) = 24400 / 5

LCM(80,305) = 4880


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 8195/80, 3500/305

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 8195/80, 3500/305?

Answer: GCF of Numerators as per given numbers 8195/80, 3500/305 is

GCF of Numerators i.e. for 8195,3500 is 5

LCM of denominators i.e. for 80,305 is 4880.

Thus, GCF of Fractions is 5/4880.Finally, GCF of Fractions for 8195/80, 3500/305 is 5/4880.