How to Find GCF of 8363/224, 9894/9600?

GCF of 8363/224, 9894/9600

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 8363/224, 9894/9600 i.e 1/67200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8363/224, 9894/9600.

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 8363/224,9894/9600?

Given fractions are 8363/224,9894/9600

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 8363/224,9894/9600, numerators are 8363,9894

Denominators are 224,9600

The GCF of 8363,9894 is 1 .

LCM of 224,9600 is 67200.

The greatest common factor of 8363/224,9894/9600 = [GCF of 8363,9894]/[LCM of 224,9600]= 1/67200

Therefore, the GCF of 8363/224,9894/9600 is 1/67200.

Greatest Common Factor of 8363,9894

To find the highest common factor of 8363,9894, we have to find the factors of both numbers and list the highest common factor.

The factors of 8363 are 1, 8363

The factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894

The HCF of 8363,9894 is 1.

Lets's calculate GCF of 8363,9894

Greatest Common Factor (GCF) of 8363,9894 By Common Division

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

Greatest Common Factor of 8363,9894 By Matching Biggest Common Factor Method

Now, list down the factors of 8363

1,8363

Now, list down the factors of 9894

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Greatest Common Factor

We found the factors 8363,9894 . The biggest common factor number is the GCF number.
So the greatest common factor 8363,9894 is 1.

Lets's calculate LCM of 224,9600

Lowest Common Multiple of 224,9600 using Common Division

2	224, 9600
2	112, 4800
2	56, 2400
2	28, 1200
2	14, 600
	7, 300

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 300 = 67200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67200

Therefore, the GCF of Fractions 8363/224,9894/9600 is 1/67200

Least Common Multiple of 224,9600 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 224,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,9600) = 32

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

GCF(224,9600) x common factors =32 x 1 = 32

LCM(224,9600) = ( 224 × 9600 ) / 32

LCM(224,9600) = 2150400 / 32

LCM(224,9600) = 67200

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8363/224, 9894/9600

1. What is the HCF of 8363,9894?

The HCF of 8363,9894 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 8363/224, 9894/9600?

Answer: GCF of Numerators as per given numbers 8363/224, 9894/9600 is

GCF of Numerators i.e. for 8363,9894 is 1

LCM of denominators i.e. for 224,9600 is 67200.

Thus, GCF of Fractions is 1/67200.Finally, GCF of Fractions for 8363/224, 9894/9600 is 1/67200.