Greatest Common Factor of 280/48, 199/20, 318/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/48, 199/20, 318/247

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 280/48,199/20,318/247

Given fractions are 280/48,199/20,318/247

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 280,199,318

Greatest Common Factor of Numerators i.e. GCF of 280,199,318 is 1 .

LCM of Denominators means LCM of 48,20,247 as per the given fractions.

LCM of 48,20,247 is 59280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,199,318

GCF of Fractions 280/48,199/20,318/247 is 1/59280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 280,199,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,199,318 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 280,199,318 . The biggest common factor number is the GCF number.
So the greatest common factor 280,199,318 is 1.

Lets's calculate LCM of 48,20,247

2 48, 20, 247
2 24, 10, 247
12, 5, 247

∴ So the LCM of the given numbers is 2 x 2 x 12 x 5 x 247 = 59280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59280

Therefore, the GCF of Fractions 280/48,199/20,318/247 is 1/59280

Least Common Multiple of 48,20,247 with GCF Formula

Least Common Multiple of 48,20,247 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 48,20,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,20,247) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(48,20,247) x common factors =1 x 4 = 4

LCM(48,20,247) = ( 48 × 20 × 247 ) / 4

LCM(48,20,247) = 237120 / 4

LCM(48,20,247) = 59280


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 280/48, 199/20, 318/247

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 280/48, 199/20, 318/247?

Answer: GCF of Numerators as per given numbers 280/48, 199/20, 318/247 is

GCF of Numerators i.e. for 280,199,318 is 1

LCM of denominators i.e. for 48,20,247 is 59280.

Thus, GCF of Fractions is 1/59280.Finally, GCF of Fractions for 280/48, 199/20, 318/247 is 1/59280.