Greatest Common Factor of 8020/447, 6705/9237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8020/447, 6705/9237

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 8020/447,6705/9237

Given fractions are 8020/447,6705/9237

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 8020,6705

Greatest Common Factor of Numerators i.e. GCF of 8020,6705 is 5 .

LCM of Denominators means LCM of 447,9237 as per the given fractions.

LCM of 447,9237 is 1376313 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8020,6705

GCF of Fractions 8020/447,6705/9237 is 5/1376313

5 8020, 6705
1604, 1341

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

Greatest Common Factor of 8020,6705 By Matching Biggest Common Factor Method

Greatest Common Factor of 8020,6705 By Matching Biggest Common Factor Method

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1,2,4,5,10,20,401,802,1604,2005,4010,8020

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Greatest Common Factor

We found the factors 8020,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 8020,6705 is 5.

Lets's calculate LCM of 447,9237

3 447, 9237
149, 3079

∴ So the LCM of the given numbers is 3 x 149 x 3079 = 1376313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1376313

Therefore, the GCF of Fractions 8020/447,6705/9237 is 5/1376313

Least Common Multiple of 447,9237 with GCF Formula

Least Common Multiple of 447,9237 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 447,9237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,9237) = 3

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

GCF(447,9237) x common factors =3 x 1 = 3

LCM(447,9237) = ( 447 × 9237 ) / 3

LCM(447,9237) = 4128939 / 3

LCM(447,9237) = 1376313


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 8020/447, 6705/9237

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 8020/447, 6705/9237?

Answer: GCF of Numerators as per given numbers 8020/447, 6705/9237 is

GCF of Numerators i.e. for 8020,6705 is 5

LCM of denominators i.e. for 447,9237 is 1376313.

Thus, GCF of Fractions is 5/1376313.Finally, GCF of Fractions for 8020/447, 6705/9237 is 5/1376313.