Greatest Common Factor of 4406/308, 7574/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4406/308, 7574/297

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 4406/308,7574/297

Given fractions are 4406/308,7574/297

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 4406,7574

Greatest Common Factor of Numerators i.e. GCF of 4406,7574 is 2 .

LCM of Denominators means LCM of 308,297 as per the given fractions.

LCM of 308,297 is 8316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4406,7574

GCF of Fractions 4406/308,7574/297 is 2/8316

2 4406, 7574
2203, 3787

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

Greatest Common Factor of 4406,7574 By Matching Biggest Common Factor Method

Greatest Common Factor of 4406,7574 By Matching Biggest Common Factor Method

Factors of 4406

List of positive integer factors of 4406 that divides 4406 without a remainder.

1,2,2203,4406

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1,2,7,14,541,1082,3787,7574

Greatest Common Factor

We found the factors 4406,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 4406,7574 is 2.

Lets's calculate LCM of 308,297

11 308, 297
28, 27

∴ So the LCM of the given numbers is 11 x 28 x 27 = 8316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8316

Therefore, the GCF of Fractions 4406/308,7574/297 is 2/8316

Least Common Multiple of 308,297 with GCF Formula

Least Common Multiple of 308,297 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 308,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,297) = 11

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

GCF(308,297) x common factors =11 x 1 = 11

LCM(308,297) = ( 308 × 297 ) / 11

LCM(308,297) = 91476 / 11

LCM(308,297) = 8316


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 4406/308, 7574/297

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 4406/308, 7574/297?

Answer: GCF of Numerators as per given numbers 4406/308, 7574/297 is

GCF of Numerators i.e. for 4406,7574 is 2

LCM of denominators i.e. for 308,297 is 8316.

Thus, GCF of Fractions is 2/8316.Finally, GCF of Fractions for 4406/308, 7574/297 is 2/8316.