Greatest Common Factor of 488/440, 8038/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/440, 8038/236

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 488/440,8038/236

Given fractions are 488/440,8038/236

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 488,8038

Greatest Common Factor of Numerators i.e. GCF of 488,8038 is 2 .

LCM of Denominators means LCM of 440,236 as per the given fractions.

LCM of 440,236 is 25960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,8038

GCF of Fractions 488/440,8038/236 is 2/25960

2 488, 8038
244, 4019

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

Greatest Common Factor of 488,8038 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,8038 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 8038

List of positive integer factors of 8038 that divides 8038 without a remainder.

1,2,4019,8038

Greatest Common Factor

We found the factors 488,8038 . The biggest common factor number is the GCF number.
So the greatest common factor 488,8038 is 2.

Lets's calculate LCM of 440,236

2 440, 236
2 220, 118
110, 59

∴ So the LCM of the given numbers is 2 x 2 x 110 x 59 = 25960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25960

Therefore, the GCF of Fractions 488/440,8038/236 is 2/25960

Least Common Multiple of 440,236 with GCF Formula

Least Common Multiple of 440,236 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 440,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,236) = 4

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

GCF(440,236) x common factors =4 x 1 = 4

LCM(440,236) = ( 440 × 236 ) / 4

LCM(440,236) = 103840 / 4

LCM(440,236) = 25960


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 488/440, 8038/236

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 488/440, 8038/236?

Answer: GCF of Numerators as per given numbers 488/440, 8038/236 is

GCF of Numerators i.e. for 488,8038 is 2

LCM of denominators i.e. for 440,236 is 25960.

Thus, GCF of Fractions is 2/25960.Finally, GCF of Fractions for 488/440, 8038/236 is 2/25960.