How to Find GCF of 3824/804, 1197/7504?

GCF of 3824/804, 1197/7504

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 3824/804, 1197/7504 i.e 1/22512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3824/804, 1197/7504.

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 3824/804,1197/7504?

Given fractions are 3824/804,1197/7504

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 3824/804,1197/7504, numerators are 3824,1197

Denominators are 804,7504

The GCF of 3824,1197 is 1 .

LCM of 804,7504 is 22512.

The greatest common factor of 3824/804,1197/7504 = [GCF of 3824,1197]/[LCM of 804,7504]= 1/22512

Therefore, the GCF of 3824/804,1197/7504 is 1/22512.

Greatest Common Factor of 3824,1197

To find the highest common factor of 3824,1197, we have to find the factors of both numbers and list the highest common factor.

The factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824

The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197

The HCF of 3824,1197 is 1.

Lets's calculate GCF of 3824,1197

Greatest Common Factor (GCF) of 3824,1197 By Common Division

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

Greatest Common Factor of 3824,1197 By Matching Biggest Common Factor Method

Now, list down the factors of 3824

1,2,4,8,16,239,478,956,1912,3824

Now, list down the factors of 1197

1,3,7,9,19,21,57,63,133,171,399,1197

Greatest Common Factor

We found the factors 3824,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 3824,1197 is 1.

Lets's calculate LCM of 804,7504

Lowest Common Multiple of 804,7504 using Common Division

2	804, 7504
2	402, 3752
67	201, 1876
	3, 28

∴ So the LCM of the given numbers is 2 x 2 x 67 x 3 x 28 = 22512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22512

Therefore, the GCF of Fractions 3824/804,1197/7504 is 1/22512

Least Common Multiple of 804,7504 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 804,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,7504) = 268

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

GCF(804,7504) x common factors =268 x 1 = 268

LCM(804,7504) = ( 804 × 7504 ) / 268

LCM(804,7504) = 6033216 / 268

LCM(804,7504) = 22512

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FAQs on GCF of Fractions of 3824/804, 1197/7504

1. What is the HCF of 3824,1197?

The HCF of 3824,1197 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 3824/804, 1197/7504?

Answer: GCF of Numerators as per given numbers 3824/804, 1197/7504 is

GCF of Numerators i.e. for 3824,1197 is 1

LCM of denominators i.e. for 804,7504 is 22512.

Thus, GCF of Fractions is 1/22512.Finally, GCF of Fractions for 3824/804, 1197/7504 is 1/22512.