Greatest Common Factor of 98/42, 199/91, 177/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/42, 199/91, 177/358

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 98/42,199/91,177/358

Given fractions are 98/42,199/91,177/358

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 98,199,177

Greatest Common Factor of Numerators i.e. GCF of 98,199,177 is 1 .

LCM of Denominators means LCM of 42,91,358 as per the given fractions.

LCM of 42,91,358 is 97734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,199,177

GCF of Fractions 98/42,199/91,177/358 is 1/97734

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

Greatest Common Factor of 98,199,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,199,177 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 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 98,199,177 . The biggest common factor number is the GCF number.
So the greatest common factor 98,199,177 is 1.

Lets's calculate LCM of 42,91,358

2 42, 91, 358
7 21, 91, 179
3, 13, 179

∴ So the LCM of the given numbers is 2 x 7 x 3 x 13 x 179 = 97734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97734

Therefore, the GCF of Fractions 98/42,199/91,177/358 is 1/97734

Least Common Multiple of 42,91,358 with GCF Formula

Least Common Multiple of 42,91,358 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 42,91,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,91,358) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,91,358) x common factors =1 x 14 = 14

LCM(42,91,358) = ( 42 × 91 × 358 ) / 14

LCM(42,91,358) = 1368276 / 14

LCM(42,91,358) = 97734


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 98/42, 199/91, 177/358

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 98/42, 199/91, 177/358?

Answer: GCF of Numerators as per given numbers 98/42, 199/91, 177/358 is

GCF of Numerators i.e. for 98,199,177 is 1

LCM of denominators i.e. for 42,91,358 is 97734.

Thus, GCF of Fractions is 1/97734.Finally, GCF of Fractions for 98/42, 199/91, 177/358 is 1/97734.