Greatest Common Factor of 9970/807, 9784/6819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9970/807, 9784/6819

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 9970/807,9784/6819

Given fractions are 9970/807,9784/6819

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 9970,9784

Greatest Common Factor of Numerators i.e. GCF of 9970,9784 is 2 .

LCM of Denominators means LCM of 807,6819 as per the given fractions.

LCM of 807,6819 is 1834311 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9970,9784

GCF of Fractions 9970/807,9784/6819 is 2/1834311

2 9970, 9784
4985, 4892

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9970,9784 By Matching Biggest Common Factor Method

Greatest Common Factor of 9970,9784 By Matching Biggest Common Factor Method

Factors of 9970

List of positive integer factors of 9970 that divides 9970 without a remainder.

1,2,5,10,997,1994,4985,9970

Factors of 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1,2,4,8,1223,2446,4892,9784

Greatest Common Factor

We found the factors 9970,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 9970,9784 is 2.

Lets's calculate LCM of 807,6819

3 807, 6819
269, 2273

∴ So the LCM of the given numbers is 3 x 269 x 2273 = 1834311

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1834311

Therefore, the GCF of Fractions 9970/807,9784/6819 is 2/1834311

Least Common Multiple of 807,6819 with GCF Formula

Least Common Multiple of 807,6819 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 807,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,6819) = 3

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

GCF(807,6819) x common factors =3 x 1 = 3

LCM(807,6819) = ( 807 × 6819 ) / 3

LCM(807,6819) = 5502933 / 3

LCM(807,6819) = 1834311


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 9970/807, 9784/6819

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 9970/807, 9784/6819?

Answer: GCF of Numerators as per given numbers 9970/807, 9784/6819 is

GCF of Numerators i.e. for 9970,9784 is 2

LCM of denominators i.e. for 807,6819 is 1834311.

Thus, GCF of Fractions is 2/1834311.Finally, GCF of Fractions for 9970/807, 9784/6819 is 2/1834311.