Greatest Common Factor of 986/47, 497/36, 298/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/47, 497/36, 298/182

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 986/47,497/36,298/182

Given fractions are 986/47,497/36,298/182

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 986,497,298

Greatest Common Factor of Numerators i.e. GCF of 986,497,298 is 1 .

LCM of Denominators means LCM of 47,36,182 as per the given fractions.

LCM of 47,36,182 is 153972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,497,298

GCF of Fractions 986/47,497/36,298/182 is 1/153972

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

Greatest Common Factor of 986,497,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,497,298 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 986,497,298 . The biggest common factor number is the GCF number.
So the greatest common factor 986,497,298 is 1.

Lets's calculate LCM of 47,36,182

2 47, 36, 182
47, 18, 91

∴ So the LCM of the given numbers is 2 x 47 x 18 x 91 = 153972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153972

Therefore, the GCF of Fractions 986/47,497/36,298/182 is 1/153972

Least Common Multiple of 47,36,182 with GCF Formula

Least Common Multiple of 47,36,182 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 47,36,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,36,182) = 1

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

GCF(47,36,182) x common factors =1 x 2 = 2

LCM(47,36,182) = ( 47 × 36 × 182 ) / 2

LCM(47,36,182) = 307944 / 2

LCM(47,36,182) = 153972


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 986/47, 497/36, 298/182

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 986/47, 497/36, 298/182?

Answer: GCF of Numerators as per given numbers 986/47, 497/36, 298/182 is

GCF of Numerators i.e. for 986,497,298 is 1

LCM of denominators i.e. for 47,36,182 is 153972.

Thus, GCF of Fractions is 1/153972.Finally, GCF of Fractions for 986/47, 497/36, 298/182 is 1/153972.