How to Find GCF of 6933/992, 3638/7314?

GCF of 6933/992, 3638/7314

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 6933/992, 3638/7314 i.e 1/3627744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6933/992, 3638/7314.

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 6933/992,3638/7314?

Given fractions are 6933/992,3638/7314

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 6933/992,3638/7314, numerators are 6933,3638

Denominators are 992,7314

The GCF of 6933,3638 is 1 .

LCM of 992,7314 is 3627744.

The greatest common factor of 6933/992,3638/7314 = [GCF of 6933,3638]/[LCM of 992,7314]= 1/3627744

Therefore, the GCF of 6933/992,3638/7314 is 1/3627744.

Greatest Common Factor of 6933,3638

To find the highest common factor of 6933,3638, we have to find the factors of both numbers and list the highest common factor.

The factors of 6933 are 1, 3, 2311, 6933

The factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638

The HCF of 6933,3638 is 1.

Lets's calculate GCF of 6933,3638

Greatest Common Factor (GCF) of 6933,3638 By Common Division

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

Greatest Common Factor of 6933,3638 By Matching Biggest Common Factor Method

Now, list down the factors of 6933

1,3,2311,6933

Now, list down the factors of 3638

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 6933,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 6933,3638 is 1.

Lets's calculate LCM of 992,7314

Lowest Common Multiple of 992,7314 using Common Division

2	992, 7314
	496, 3657

∴ So the LCM of the given numbers is 2 x 496 x 3657 = 3627744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3627744

Therefore, the GCF of Fractions 6933/992,3638/7314 is 1/3627744

Least Common Multiple of 992,7314 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 992,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,7314) = 2

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

GCF(992,7314) x common factors =2 x 1 = 2

LCM(992,7314) = ( 992 × 7314 ) / 2

LCM(992,7314) = 7255488 / 2

LCM(992,7314) = 3627744

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FAQs on GCF of Fractions of 6933/992, 3638/7314

1. What is the HCF of 6933,3638?

The HCF of 6933,3638 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 6933/992, 3638/7314?

Answer: GCF of Numerators as per given numbers 6933/992, 3638/7314 is

GCF of Numerators i.e. for 6933,3638 is 1

LCM of denominators i.e. for 992,7314 is 3627744.

Thus, GCF of Fractions is 1/3627744.Finally, GCF of Fractions for 6933/992, 3638/7314 is 1/3627744.