Greatest Common Factor of 9690/795, 2984/8814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9690/795, 2984/8814

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 9690/795,2984/8814

Given fractions are 9690/795,2984/8814

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 9690,2984

Greatest Common Factor of Numerators i.e. GCF of 9690,2984 is 2 .

LCM of Denominators means LCM of 795,8814 as per the given fractions.

LCM of 795,8814 is 2335710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9690,2984

GCF of Fractions 9690/795,2984/8814 is 2/2335710

2 9690, 2984
4845, 1492

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

Greatest Common Factor of 9690,2984 By Matching Biggest Common Factor Method

Greatest Common Factor of 9690,2984 By Matching Biggest Common Factor Method

Factors of 9690

List of positive integer factors of 9690 that divides 9690 without a remainder.

1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690

Factors of 2984

List of positive integer factors of 2984 that divides 2984 without a remainder.

1,2,4,8,373,746,1492,2984

Greatest Common Factor

We found the factors 9690,2984 . The biggest common factor number is the GCF number.
So the greatest common factor 9690,2984 is 2.

Lets's calculate LCM of 795,8814

3 795, 8814
265, 2938

∴ So the LCM of the given numbers is 3 x 265 x 2938 = 2335710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2335710

Therefore, the GCF of Fractions 9690/795,2984/8814 is 2/2335710

Least Common Multiple of 795,8814 with GCF Formula

Least Common Multiple of 795,8814 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 795,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,8814) = 3

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

GCF(795,8814) x common factors =3 x 1 = 3

LCM(795,8814) = ( 795 × 8814 ) / 3

LCM(795,8814) = 7007130 / 3

LCM(795,8814) = 2335710


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 9690/795, 2984/8814

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 9690/795, 2984/8814?

Answer: GCF of Numerators as per given numbers 9690/795, 2984/8814 is

GCF of Numerators i.e. for 9690,2984 is 2

LCM of denominators i.e. for 795,8814 is 2335710.

Thus, GCF of Fractions is 2/2335710.Finally, GCF of Fractions for 9690/795, 2984/8814 is 2/2335710.