Greatest Common Factor of 98/73, 834/95, 422/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/73, 834/95, 422/118

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 98/73,834/95,422/118

Given fractions are 98/73,834/95,422/118

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 98,834,422

Greatest Common Factor of Numerators i.e. GCF of 98,834,422 is 2 .

LCM of Denominators means LCM of 73,95,118 as per the given fractions.

LCM of 73,95,118 is 818330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,834,422

GCF of Fractions 98/73,834/95,422/118 is 2/818330

2 98, 834, 422
49, 417, 211

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

Greatest Common Factor of 98,834,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,834,422 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 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 98,834,422 . The biggest common factor number is the GCF number.
So the greatest common factor 98,834,422 is 2.

Lets's calculate LCM of 73,95,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 818330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/818330

Therefore, the GCF of Fractions 98/73,834/95,422/118 is 2/818330

Least Common Multiple of 73,95,118 with GCF Formula

Least Common Multiple of 73,95,118 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 73,95,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,95,118) = 1

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

GCF(73,95,118) x common factors =1 x 1 = 1

LCM(73,95,118) = ( 73 × 95 × 118 ) / 1

LCM(73,95,118) = 818330 / 1

LCM(73,95,118) = 818330


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 98/73, 834/95, 422/118

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 98/73, 834/95, 422/118?

Answer: GCF of Numerators as per given numbers 98/73, 834/95, 422/118 is

GCF of Numerators i.e. for 98,834,422 is 2

LCM of denominators i.e. for 73,95,118 is 818330.

Thus, GCF of Fractions is 2/818330.Finally, GCF of Fractions for 98/73, 834/95, 422/118 is 2/818330.