Greatest Common Factor of 308/59, 482/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/59, 482/410

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 308/59,482/410

Given fractions are 308/59,482/410

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 308,482

Greatest Common Factor of Numerators i.e. GCF of 308,482 is 2 .

LCM of Denominators means LCM of 59,410 as per the given fractions.

LCM of 59,410 is 24190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,482

GCF of Fractions 308/59,482/410 is 2/24190

2 308, 482
154, 241

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

Greatest Common Factor of 308,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,482 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 308,482 . The biggest common factor number is the GCF number.
So the greatest common factor 308,482 is 2.

Lets's calculate LCM of 59,410

Given numbers has no common factors except 1. So, there LCM is their product i.e 24190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24190

Therefore, the GCF of Fractions 308/59,482/410 is 2/24190

Least Common Multiple of 59,410 with GCF Formula

Least Common Multiple of 59,410 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 59,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,410) = 1

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

GCF(59,410) x common factors =1 x 1 = 1

LCM(59,410) = ( 59 × 410 ) / 1

LCM(59,410) = 24190 / 1

LCM(59,410) = 24190


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 308/59, 482/410

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 308/59, 482/410?

Answer: GCF of Numerators as per given numbers 308/59, 482/410 is

GCF of Numerators i.e. for 308,482 is 2

LCM of denominators i.e. for 59,410 is 24190.

Thus, GCF of Fractions is 2/24190.Finally, GCF of Fractions for 308/59, 482/410 is 2/24190.