Greatest Common Factor of 658/396, 8141/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/396, 8141/998

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 658/396,8141/998

Given fractions are 658/396,8141/998

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 658,8141

Greatest Common Factor of Numerators i.e. GCF of 658,8141 is 7 .

LCM of Denominators means LCM of 396,998 as per the given fractions.

LCM of 396,998 is 197604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,8141

GCF of Fractions 658/396,8141/998 is 7/197604

7 658, 8141
94, 1163

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 658,8141 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,8141 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 8141

List of positive integer factors of 8141 that divides 8141 without a remainder.

1,7,1163,8141

Greatest Common Factor

We found the factors 658,8141 . The biggest common factor number is the GCF number.
So the greatest common factor 658,8141 is 7.

Lets's calculate LCM of 396,998

2 396, 998
198, 499

∴ So the LCM of the given numbers is 2 x 198 x 499 = 197604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/197604

Therefore, the GCF of Fractions 658/396,8141/998 is 7/197604

Least Common Multiple of 396,998 with GCF Formula

Least Common Multiple of 396,998 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 396,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,998) = 2

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

GCF(396,998) x common factors =2 x 1 = 2

LCM(396,998) = ( 396 × 998 ) / 2

LCM(396,998) = 395208 / 2

LCM(396,998) = 197604


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 658/396, 8141/998

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 658/396, 8141/998?

Answer: GCF of Numerators as per given numbers 658/396, 8141/998 is

GCF of Numerators i.e. for 658,8141 is 7

LCM of denominators i.e. for 396,998 is 197604.

Thus, GCF of Fractions is 7/197604.Finally, GCF of Fractions for 658/396, 8141/998 is 7/197604.