Greatest Common Factor of 8262/798, 8716/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8262/798, 8716/398

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 8262/798,8716/398

Given fractions are 8262/798,8716/398

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 8262,8716

Greatest Common Factor of Numerators i.e. GCF of 8262,8716 is 2 .

LCM of Denominators means LCM of 798,398 as per the given fractions.

LCM of 798,398 is 158802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8262,8716

GCF of Fractions 8262/798,8716/398 is 2/158802

2 8262, 8716
4131, 4358

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

Greatest Common Factor of 8262,8716 By Matching Biggest Common Factor Method

Greatest Common Factor of 8262,8716 By Matching Biggest Common Factor Method

Factors of 8262

List of positive integer factors of 8262 that divides 8262 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Greatest Common Factor

We found the factors 8262,8716 . The biggest common factor number is the GCF number.
So the greatest common factor 8262,8716 is 2.

Lets's calculate LCM of 798,398

2 798, 398
399, 199

∴ So the LCM of the given numbers is 2 x 399 x 199 = 158802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/158802

Therefore, the GCF of Fractions 8262/798,8716/398 is 2/158802

Least Common Multiple of 798,398 with GCF Formula

Least Common Multiple of 798,398 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 798,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,398) = 2

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

GCF(798,398) x common factors =2 x 1 = 2

LCM(798,398) = ( 798 × 398 ) / 2

LCM(798,398) = 317604 / 2

LCM(798,398) = 158802


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 8262/798, 8716/398

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 8262/798, 8716/398?

Answer: GCF of Numerators as per given numbers 8262/798, 8716/398 is

GCF of Numerators i.e. for 8262,8716 is 2

LCM of denominators i.e. for 798,398 is 158802.

Thus, GCF of Fractions is 2/158802.Finally, GCF of Fractions for 8262/798, 8716/398 is 2/158802.