Greatest Common Factor of 98/68, 85/74, 318/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/68, 85/74, 318/159

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 98/68,85/74,318/159

Given fractions are 98/68,85/74,318/159

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 98,85,318

Greatest Common Factor of Numerators i.e. GCF of 98,85,318 is 1 .

LCM of Denominators means LCM of 68,74,159 as per the given fractions.

LCM of 68,74,159 is 400044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,85,318

GCF of Fractions 98/68,85/74,318/159 is 1/400044

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 98,85,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,85,318 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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 98,85,318 . The biggest common factor number is the GCF number.
So the greatest common factor 98,85,318 is 1.

Lets's calculate LCM of 68,74,159

2 68, 74, 159
34, 37, 159

∴ So the LCM of the given numbers is 2 x 34 x 37 x 159 = 400044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400044

Therefore, the GCF of Fractions 98/68,85/74,318/159 is 1/400044

Least Common Multiple of 68,74,159 with GCF Formula

Least Common Multiple of 68,74,159 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 68,74,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,74,159) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,74,159) x common factors =1 x 2 = 2

LCM(68,74,159) = ( 68 × 74 × 159 ) / 2

LCM(68,74,159) = 800088 / 2

LCM(68,74,159) = 400044


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 98/68, 85/74, 318/159

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 98/68, 85/74, 318/159?

Answer: GCF of Numerators as per given numbers 98/68, 85/74, 318/159 is

GCF of Numerators i.e. for 98,85,318 is 1

LCM of denominators i.e. for 68,74,159 is 400044.

Thus, GCF of Fractions is 1/400044.Finally, GCF of Fractions for 98/68, 85/74, 318/159 is 1/400044.