How to Find GCF of 384/22, 980/8768?

GCF of 384/22, 980/8768

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 384/22, 980/8768 i.e 4/96448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/22, 980/8768.

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 384/22,980/8768?

Given fractions are 384/22,980/8768

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 384/22,980/8768, numerators are 384,980

Denominators are 22,8768

The GCF of 384,980 is 4 .

LCM of 22,8768 is 96448.

The greatest common factor of 384/22,980/8768 = [GCF of 384,980]/[LCM of 22,8768]= 4/96448

Therefore, the GCF of 384/22,980/8768 is 4/96448.

Greatest Common Factor of 384,980

To find the highest common factor of 384,980, we have to find the factors of both numbers and list the highest common factor.

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 384,980 is 4.

Lets's calculate GCF of 384,980

Greatest Common Factor (GCF) of 384,980 By Common Division

2	384, 980
2	192, 490
	96, 245

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

Greatest Common Factor of 384,980 By Matching Biggest Common Factor Method

Now, list down the factors of 384

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 384,980 . The biggest common factor number is the GCF number.
So the greatest common factor 384,980 is 4.

Lets's calculate LCM of 22,8768

Lowest Common Multiple of 22,8768 using Common Division

2	22, 8768
	11, 4384

∴ So the LCM of the given numbers is 2 x 11 x 4384 = 96448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/96448

Therefore, the GCF of Fractions 384/22,980/8768 is 4/96448

Least Common Multiple of 22,8768 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 22,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,8768) = 2

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

GCF(22,8768) x common factors =2 x 1 = 2

LCM(22,8768) = ( 22 × 8768 ) / 2

LCM(22,8768) = 192896 / 2

LCM(22,8768) = 96448

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FAQs on GCF of Fractions of 384/22, 980/8768

1. What is the HCF of 384,980?

The HCF of 384,980 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 384/22, 980/8768?

Answer: GCF of Numerators as per given numbers 384/22, 980/8768 is

GCF of Numerators i.e. for 384,980 is 4

LCM of denominators i.e. for 22,8768 is 96448.

Thus, GCF of Fractions is 4/96448.Finally, GCF of Fractions for 384/22, 980/8768 is 4/96448.