How to Find GCF of 3304/199, 1912/4444?

GCF of 3304/199, 1912/4444

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3304/199, 1912/4444 i.e 8/884356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3304/199, 1912/4444.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3304/199,1912/4444?

Given fractions are 3304/199,1912/4444

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3304/199,1912/4444, numerators are 3304,1912

Denominators are 199,4444

The GCF of 3304,1912 is 8 .

LCM of 199,4444 is 884356.

The greatest common factor of 3304/199,1912/4444 = [GCF of 3304,1912]/[LCM of 199,4444]= 8/884356

Therefore, the GCF of 3304/199,1912/4444 is 8/884356.

Greatest Common Factor of 3304,1912

To find the highest common factor of 3304,1912, we have to find the factors of both numbers and list the highest common factor.

The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304

The factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912

The HCF of 3304,1912 is 8.

Lets's calculate GCF of 3304,1912

Greatest Common Factor (GCF) of 3304,1912 By Common Division

2	3304, 1912
2	1652, 956
2	826, 478
	413, 239

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3304,1912 By Matching Biggest Common Factor Method

Now, list down the factors of 3304

1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304

Now, list down the factors of 1912

1,2,4,8,239,478,956,1912

Greatest Common Factor

We found the factors 3304,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 3304,1912 is 8.

Lets's calculate LCM of 199,4444

Lowest Common Multiple of 199,4444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 884356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/884356

Therefore, the GCF of Fractions 3304/199,1912/4444 is 8/884356

Least Common Multiple of 199,4444 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 199,4444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,4444) = 1

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

GCF(199,4444) x common factors =1 x 1 = 1

LCM(199,4444) = ( 199 × 4444 ) / 1

LCM(199,4444) = 884356 / 1

LCM(199,4444) = 884356

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FAQs on GCF of Fractions of 3304/199, 1912/4444

1. What is the HCF of 3304,1912?

The HCF of 3304,1912 is 8

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3304/199, 1912/4444?

Answer: GCF of Numerators as per given numbers 3304/199, 1912/4444 is

GCF of Numerators i.e. for 3304,1912 is 8

LCM of denominators i.e. for 199,4444 is 884356.

Thus, GCF of Fractions is 8/884356.Finally, GCF of Fractions for 3304/199, 1912/4444 is 8/884356.