How to Find GCF of 388/808, 5256/990?

GCF of 388/808, 5256/990

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 388/808, 5256/990 i.e 4/399960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/808, 5256/990.

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 388/808,5256/990?

Given fractions are 388/808,5256/990

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 388/808,5256/990, numerators are 388,5256

Denominators are 808,990

The GCF of 388,5256 is 4 .

LCM of 808,990 is 399960.

The greatest common factor of 388/808,5256/990 = [GCF of 388,5256]/[LCM of 808,990]= 4/399960

Therefore, the GCF of 388/808,5256/990 is 4/399960.

Greatest Common Factor of 388,5256

To find the highest common factor of 388,5256, we have to find the factors of both numbers and list the highest common factor.

The factors of 388 are 1, 2, 4, 97, 194, 388

The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256

The HCF of 388,5256 is 4.

Lets's calculate GCF of 388,5256

Greatest Common Factor (GCF) of 388,5256 By Common Division

2	388, 5256
2	194, 2628
	97, 1314

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

Greatest Common Factor of 388,5256 By Matching Biggest Common Factor Method

Now, list down the factors of 388

1,2,4,97,194,388

Now, list down the factors of 5256

1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256

Greatest Common Factor

We found the factors 388,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 388,5256 is 4.

Lets's calculate LCM of 808,990

Lowest Common Multiple of 808,990 using Common Division

2	808, 990
	404, 495

∴ So the LCM of the given numbers is 2 x 404 x 495 = 399960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/399960

Therefore, the GCF of Fractions 388/808,5256/990 is 4/399960

Least Common Multiple of 808,990 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 808,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,990) = 2

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

GCF(808,990) x common factors =2 x 1 = 2

LCM(808,990) = ( 808 × 990 ) / 2

LCM(808,990) = 799920 / 2

LCM(808,990) = 399960

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FAQs on GCF of Fractions of 388/808, 5256/990

1. What is the HCF of 388,5256?

The HCF of 388,5256 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 388/808, 5256/990?

Answer: GCF of Numerators as per given numbers 388/808, 5256/990 is

GCF of Numerators i.e. for 388,5256 is 4

LCM of denominators i.e. for 808,990 is 399960.

Thus, GCF of Fractions is 4/399960.Finally, GCF of Fractions for 388/808, 5256/990 is 4/399960.