How to Find GCF of 6080/384, 9496/8920?

GCF of 6080/384, 9496/8920

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 6080/384, 9496/8920 i.e 8/428160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6080/384, 9496/8920.

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 6080/384,9496/8920?

Given fractions are 6080/384,9496/8920

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 6080/384,9496/8920, numerators are 6080,9496

Denominators are 384,8920

The GCF of 6080,9496 is 8 .

LCM of 384,8920 is 428160.

The greatest common factor of 6080/384,9496/8920 = [GCF of 6080,9496]/[LCM of 384,8920]= 8/428160

Therefore, the GCF of 6080/384,9496/8920 is 8/428160.

Greatest Common Factor of 6080,9496

To find the highest common factor of 6080,9496, we have to find the factors of both numbers and list the highest common factor.

The factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080

The factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496

The HCF of 6080,9496 is 8.

Lets's calculate GCF of 6080,9496

Greatest Common Factor (GCF) of 6080,9496 By Common Division

2	6080, 9496
2	3040, 4748
2	1520, 2374
	760, 1187

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

Greatest Common Factor of 6080,9496 By Matching Biggest Common Factor Method

Now, list down the factors of 6080

1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080

Now, list down the factors of 9496

1,2,4,8,1187,2374,4748,9496

Greatest Common Factor

We found the factors 6080,9496 . The biggest common factor number is the GCF number.
So the greatest common factor 6080,9496 is 8.

Lets's calculate LCM of 384,8920

Lowest Common Multiple of 384,8920 using Common Division

2	384, 8920
2	192, 4460
2	96, 2230
	48, 1115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 1115 = 428160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/428160

Therefore, the GCF of Fractions 6080/384,9496/8920 is 8/428160

Least Common Multiple of 384,8920 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 384,8920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,8920) = 8

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

GCF(384,8920) x common factors =8 x 1 = 8

LCM(384,8920) = ( 384 × 8920 ) / 8

LCM(384,8920) = 3425280 / 8

LCM(384,8920) = 428160

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FAQs on GCF of Fractions of 6080/384, 9496/8920

1. What is the HCF of 6080,9496?

The HCF of 6080,9496 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 6080/384, 9496/8920?

Answer: GCF of Numerators as per given numbers 6080/384, 9496/8920 is

GCF of Numerators i.e. for 6080,9496 is 8

LCM of denominators i.e. for 384,8920 is 428160.

Thus, GCF of Fractions is 8/428160.Finally, GCF of Fractions for 6080/384, 9496/8920 is 8/428160.