Greatest Common Factor of 98/998, 8512/4346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/998, 8512/4346

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 98/998,8512/4346

Given fractions are 98/998,8512/4346

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 98,8512

Greatest Common Factor of Numerators i.e. GCF of 98,8512 is 14 .

LCM of Denominators means LCM of 998,4346 as per the given fractions.

LCM of 998,4346 is 2168654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,8512

GCF of Fractions 98/998,8512/4346 is 14/2168654

2 98, 8512
7 49, 4256
7, 608

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 98,8512 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,8512 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 8512

List of positive integer factors of 8512 that divides 8512 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512

Greatest Common Factor

We found the factors 98,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 98,8512 is 14.

Lets's calculate LCM of 998,4346

2 998, 4346
499, 2173

∴ So the LCM of the given numbers is 2 x 499 x 2173 = 2168654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2168654

Therefore, the GCF of Fractions 98/998,8512/4346 is 14/2168654

Least Common Multiple of 998,4346 with GCF Formula

Least Common Multiple of 998,4346 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 998,4346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,4346) = 2

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

GCF(998,4346) x common factors =2 x 1 = 2

LCM(998,4346) = ( 998 × 4346 ) / 2

LCM(998,4346) = 4337308 / 2

LCM(998,4346) = 2168654


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 98/998, 8512/4346

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 98/998, 8512/4346?

Answer: GCF of Numerators as per given numbers 98/998, 8512/4346 is

GCF of Numerators i.e. for 98,8512 is 14

LCM of denominators i.e. for 998,4346 is 2168654.

Thus, GCF of Fractions is 14/2168654.Finally, GCF of Fractions for 98/998, 8512/4346 is 14/2168654.