Greatest Common Factor of 240/83, 984/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/83, 984/838

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 240/83,984/838

Given fractions are 240/83,984/838

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 240,984

Greatest Common Factor of Numerators i.e. GCF of 240,984 is 24 .

LCM of Denominators means LCM of 83,838 as per the given fractions.

LCM of 83,838 is 69554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,984

GCF of Fractions 240/83,984/838 is 24/69554

2 240, 984
2 120, 492
2 60, 246
3 30, 123
10, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 240,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,984 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 240,984 . The biggest common factor number is the GCF number.
So the greatest common factor 240,984 is 24.

Lets's calculate LCM of 83,838

Given numbers has no common factors except 1. So, there LCM is their product i.e 69554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/69554

Therefore, the GCF of Fractions 240/83,984/838 is 24/69554

Least Common Multiple of 83,838 with GCF Formula

Least Common Multiple of 83,838 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 83,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,838) = 1

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

GCF(83,838) x common factors =1 x 1 = 1

LCM(83,838) = ( 83 × 838 ) / 1

LCM(83,838) = 69554 / 1

LCM(83,838) = 69554


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 240/83, 984/838

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 240/83, 984/838?

Answer: GCF of Numerators as per given numbers 240/83, 984/838 is

GCF of Numerators i.e. for 240,984 is 24

LCM of denominators i.e. for 83,838 is 69554.

Thus, GCF of Fractions is 24/69554.Finally, GCF of Fractions for 240/83, 984/838 is 24/69554.