How to Find GCF of 9196/768, 5359/192?

GCF of 9196/768, 5359/192

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 9196/768, 5359/192 i.e 1/768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9196/768, 5359/192.

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 9196/768,5359/192?

Given fractions are 9196/768,5359/192

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 9196/768,5359/192, numerators are 9196,5359

Denominators are 768,192

The GCF of 9196,5359 is 1 .

LCM of 768,192 is 768.

The greatest common factor of 9196/768,5359/192 = [GCF of 9196,5359]/[LCM of 768,192]= 1/768

Therefore, the GCF of 9196/768,5359/192 is 1/768.

Greatest Common Factor of 9196,5359

To find the highest common factor of 9196,5359, we have to find the factors of both numbers and list the highest common factor.

The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196

The factors of 5359 are 1, 23, 233, 5359

The HCF of 9196,5359 is 1.

Lets's calculate GCF of 9196,5359

Greatest Common Factor (GCF) of 9196,5359 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9196,5359 By Matching Biggest Common Factor Method

Now, list down the factors of 9196

1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196

Now, list down the factors of 5359

1,23,233,5359

Greatest Common Factor

We found the factors 9196,5359 . The biggest common factor number is the GCF number.
So the greatest common factor 9196,5359 is 1.

Lets's calculate LCM of 768,192

Lowest Common Multiple of 768,192 using Common Division

2	768, 192
2	384, 96
2	192, 48
2	96, 24
2	48, 12
2	24, 6
3	12, 3
	4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 4 x 1 = 768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/768

Therefore, the GCF of Fractions 9196/768,5359/192 is 1/768

Least Common Multiple of 768,192 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 768,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,192) = 192

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

GCF(768,192) x common factors =192 x 1 = 192

LCM(768,192) = ( 768 × 192 ) / 192

LCM(768,192) = 147456 / 192

LCM(768,192) = 768

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FAQs on GCF of Fractions of 9196/768, 5359/192

1. What is the HCF of 9196,5359?

The HCF of 9196,5359 is 1

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 9196/768, 5359/192?

Answer: GCF of Numerators as per given numbers 9196/768, 5359/192 is

GCF of Numerators i.e. for 9196,5359 is 1

LCM of denominators i.e. for 768,192 is 768.

Thus, GCF of Fractions is 1/768.Finally, GCF of Fractions for 9196/768, 5359/192 is 1/768.