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GCF of 304/288, 7211/1899

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 304/288, 7211/1899 i.e 1/60768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 304/288, 7211/1899.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 304/288,7211/1899?

Given fractions are 304/288,7211/1899

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 304/288,7211/1899, numerators are 304,7211

Denominators are 288,1899

The GCF of 304,7211 is 1 .

LCM of 288,1899 is 60768.

The greatest common factor of 304/288,7211/1899 = [GCF of 304,7211]/[LCM of 288,1899]= 1/60768

Therefore, the GCF of 304/288,7211/1899 is 1/60768.

Greatest Common Factor of 304,7211

To find the highest common factor of 304,7211, we have to find the factors of both numbers and list the highest common factor.

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

The factors of 7211 are 1, 7211

The HCF of 304,7211 is 1.

Lets's calculate GCF of 304,7211

Greatest Common Factor (GCF) of 304,7211 By Common Division

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

Greatest Common Factor of 304,7211 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,7211 By Matching Biggest Common Factor Method

Now, list down the factors of 304

:

1,2,4,8,16,19,38,76,152,304

Now, list down the factors of 7211

:

1,7211

Greatest Common Factor

We found the factors 304,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 304,7211 is 1.

Lets's calculate LCM of 288,1899

Lowest Common Multiple of 288,1899 using Common Division

3 288, 1899
3 96, 633
32, 211

∴ So the LCM of the given numbers is 3 x 3 x 32 x 211 = 60768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60768

Therefore, the GCF of Fractions 304/288,7211/1899 is 1/60768

Least Common Multiple of 288,1899 with GCF Formula

Least Common Multiple of 288,1899 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 288,1899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,1899) = 9

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

GCF(288,1899) x common factors =9 x 1 = 9

LCM(288,1899) = ( 288 × 1899 ) / 9

LCM(288,1899) = 546912 / 9

LCM(288,1899) = 60768


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FAQs on GCF of Fractions of 304/288, 7211/1899

1. What is the HCF of 304,7211?

The HCF of 304,7211 is 1

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 304/288, 7211/1899?

Answer: GCF of Numerators as per given numbers 304/288, 7211/1899 is

GCF of Numerators i.e. for 304,7211 is 1

LCM of denominators i.e. for 288,1899 is 60768.

Thus, GCF of Fractions is 1/60768.Finally, GCF of Fractions for 304/288, 7211/1899 is 1/60768.