Greatest Common Factor of 498/734, 191/154, 942/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/734, 191/154, 942/186

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 498/734,191/154,942/186

Given fractions are 498/734,191/154,942/186

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 498,191,942

Greatest Common Factor of Numerators i.e. GCF of 498,191,942 is 1 .

LCM of Denominators means LCM of 734,154,186 as per the given fractions.

LCM of 734,154,186 is 5256174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,191,942

GCF of Fractions 498/734,191/154,942/186 is 1/5256174

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

Greatest Common Factor of 498,191,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,191,942 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 498,191,942 . The biggest common factor number is the GCF number.
So the greatest common factor 498,191,942 is 1.

Lets's calculate LCM of 734,154,186

2 734, 154, 186
367, 77, 93

∴ So the LCM of the given numbers is 2 x 367 x 77 x 93 = 5256174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5256174

Therefore, the GCF of Fractions 498/734,191/154,942/186 is 1/5256174

Least Common Multiple of 734,154,186 with GCF Formula

Least Common Multiple of 734,154,186 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 734,154,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,154,186) = 2

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

GCF(734,154,186) x common factors =2 x 2 = 4

LCM(734,154,186) = ( 734 × 154 × 186 ) / 4

LCM(734,154,186) = 21024696 / 4

LCM(734,154,186) = 5256174


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 498/734, 191/154, 942/186

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 498/734, 191/154, 942/186?

Answer: GCF of Numerators as per given numbers 498/734, 191/154, 942/186 is

GCF of Numerators i.e. for 498,191,942 is 1

LCM of denominators i.e. for 734,154,186 is 5256174.

Thus, GCF of Fractions is 1/5256174.Finally, GCF of Fractions for 498/734, 191/154, 942/186 is 1/5256174.