How to Find GCF of 288/467, 9640/9926?

GCF of 288/467, 9640/9926

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 288/467, 9640/9926 i.e 8/4635442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/467, 9640/9926.

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 288/467,9640/9926?

Given fractions are 288/467,9640/9926

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 288/467,9640/9926, numerators are 288,9640

Denominators are 467,9926

The GCF of 288,9640 is 8 .

LCM of 467,9926 is 4635442.

The greatest common factor of 288/467,9640/9926 = [GCF of 288,9640]/[LCM of 467,9926]= 8/4635442

Therefore, the GCF of 288/467,9640/9926 is 8/4635442.

Greatest Common Factor of 288,9640

To find the highest common factor of 288,9640, we have to find the factors of both numbers and list the highest common factor.

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640

The HCF of 288,9640 is 8.

Lets's calculate GCF of 288,9640

Greatest Common Factor (GCF) of 288,9640 By Common Division

2	288, 9640
2	144, 4820
2	72, 2410
	36, 1205

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 288,9640 By Matching Biggest Common Factor Method

Now, list down the factors of 288

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Now, list down the factors of 9640

1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640

Greatest Common Factor

We found the factors 288,9640 . The biggest common factor number is the GCF number.
So the greatest common factor 288,9640 is 8.

Lets's calculate LCM of 467,9926

Lowest Common Multiple of 467,9926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4635442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4635442

Therefore, the GCF of Fractions 288/467,9640/9926 is 8/4635442

Least Common Multiple of 467,9926 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 467,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,9926) = 1

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

GCF(467,9926) x common factors =1 x 1 = 1

LCM(467,9926) = ( 467 × 9926 ) / 1

LCM(467,9926) = 4635442 / 1

LCM(467,9926) = 4635442

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FAQs on GCF of Fractions of 288/467, 9640/9926

1. What is the HCF of 288,9640?

The HCF of 288,9640 is 8

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 288/467, 9640/9926?

Answer: GCF of Numerators as per given numbers 288/467, 9640/9926 is

GCF of Numerators i.e. for 288,9640 is 8

LCM of denominators i.e. for 467,9926 is 4635442.

Thus, GCF of Fractions is 8/4635442.Finally, GCF of Fractions for 288/467, 9640/9926 is 8/4635442.