Greatest Common Factor of 9798/264, 2144/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9798/264, 2144/986

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 9798/264,2144/986

Given fractions are 9798/264,2144/986

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 9798,2144

Greatest Common Factor of Numerators i.e. GCF of 9798,2144 is 2 .

LCM of Denominators means LCM of 264,986 as per the given fractions.

LCM of 264,986 is 130152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9798,2144

GCF of Fractions 9798/264,2144/986 is 2/130152

2 9798, 2144
4899, 1072

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

Greatest Common Factor of 9798,2144 By Matching Biggest Common Factor Method

Greatest Common Factor of 9798,2144 By Matching Biggest Common Factor Method

Factors of 9798

List of positive integer factors of 9798 that divides 9798 without a remainder.

1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Greatest Common Factor

We found the factors 9798,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 9798,2144 is 2.

Lets's calculate LCM of 264,986

2 264, 986
132, 493

∴ So the LCM of the given numbers is 2 x 132 x 493 = 130152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130152

Therefore, the GCF of Fractions 9798/264,2144/986 is 2/130152

Least Common Multiple of 264,986 with GCF Formula

Least Common Multiple of 264,986 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 264,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,986) = 2

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

GCF(264,986) x common factors =2 x 1 = 2

LCM(264,986) = ( 264 × 986 ) / 2

LCM(264,986) = 260304 / 2

LCM(264,986) = 130152


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9798/264, 2144/986

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 9798/264, 2144/986?

Answer: GCF of Numerators as per given numbers 9798/264, 2144/986 is

GCF of Numerators i.e. for 9798,2144 is 2

LCM of denominators i.e. for 264,986 is 130152.

Thus, GCF of Fractions is 2/130152.Finally, GCF of Fractions for 9798/264, 2144/986 is 2/130152.