How to Find GCF of 7688/494, 4004/1336?

GCF of 7688/494, 4004/1336

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 7688/494, 4004/1336 i.e 4/329992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7688/494, 4004/1336.

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 7688/494,4004/1336?

Given fractions are 7688/494,4004/1336

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 7688/494,4004/1336, numerators are 7688,4004

Denominators are 494,1336

The GCF of 7688,4004 is 4 .

LCM of 494,1336 is 329992.

The greatest common factor of 7688/494,4004/1336 = [GCF of 7688,4004]/[LCM of 494,1336]= 4/329992

Therefore, the GCF of 7688/494,4004/1336 is 4/329992.

Greatest Common Factor of 7688,4004

To find the highest common factor of 7688,4004, we have to find the factors of both numbers and list the highest common factor.

The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004

The HCF of 7688,4004 is 4.

Lets's calculate GCF of 7688,4004

Greatest Common Factor (GCF) of 7688,4004 By Common Division

2	7688, 4004
2	3844, 2002
	1922, 1001

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7688,4004 By Matching Biggest Common Factor Method

Now, list down the factors of 7688

1,2,4,8,31,62,124,248,961,1922,3844,7688

Now, list down the factors of 4004

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 7688,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,4004 is 4.

Lets's calculate LCM of 494,1336

Lowest Common Multiple of 494,1336 using Common Division

2	494, 1336
	247, 668

∴ So the LCM of the given numbers is 2 x 247 x 668 = 329992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/329992

Therefore, the GCF of Fractions 7688/494,4004/1336 is 4/329992

Least Common Multiple of 494,1336 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 494,1336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,1336) = 2

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

GCF(494,1336) x common factors =2 x 1 = 2

LCM(494,1336) = ( 494 × 1336 ) / 2

LCM(494,1336) = 659984 / 2

LCM(494,1336) = 329992

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7688/494, 4004/1336

1. What is the HCF of 7688,4004?

The HCF of 7688,4004 is 4

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 7688/494, 4004/1336?

Answer: GCF of Numerators as per given numbers 7688/494, 4004/1336 is

GCF of Numerators i.e. for 7688,4004 is 4

LCM of denominators i.e. for 494,1336 is 329992.

Thus, GCF of Fractions is 4/329992.Finally, GCF of Fractions for 7688/494, 4004/1336 is 4/329992.