Greatest Common Factor of 838/144, 8498/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 838/144, 8498/169

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 838/144,8498/169

Given fractions are 838/144,8498/169

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 838,8498

Greatest Common Factor of Numerators i.e. GCF of 838,8498 is 2 .

LCM of Denominators means LCM of 144,169 as per the given fractions.

LCM of 144,169 is 24336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 838,8498

GCF of Fractions 838/144,8498/169 is 2/24336

2 838, 8498
419, 4249

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

Greatest Common Factor of 838,8498 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,8498 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1,2,7,14,607,1214,4249,8498

Greatest Common Factor

We found the factors 838,8498 . The biggest common factor number is the GCF number.
So the greatest common factor 838,8498 is 2.

Lets's calculate LCM of 144,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 24336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24336

Therefore, the GCF of Fractions 838/144,8498/169 is 2/24336

Least Common Multiple of 144,169 with GCF Formula

Least Common Multiple of 144,169 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 144,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,169) = 1

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

GCF(144,169) x common factors =1 x 1 = 1

LCM(144,169) = ( 144 × 169 ) / 1

LCM(144,169) = 24336 / 1

LCM(144,169) = 24336


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 838/144, 8498/169

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 838/144, 8498/169?

Answer: GCF of Numerators as per given numbers 838/144, 8498/169 is

GCF of Numerators i.e. for 838,8498 is 2

LCM of denominators i.e. for 144,169 is 24336.

Thus, GCF of Fractions is 2/24336.Finally, GCF of Fractions for 838/144, 8498/169 is 2/24336.