How to Find GCF of 8794/230, 9422/490?

GCF of 8794/230, 9422/490

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 8794/230, 9422/490 i.e 2/11270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8794/230, 9422/490.

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 8794/230,9422/490?

Given fractions are 8794/230,9422/490

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 8794/230,9422/490, numerators are 8794,9422

Denominators are 230,490

The GCF of 8794,9422 is 2 .

LCM of 230,490 is 11270.

The greatest common factor of 8794/230,9422/490 = [GCF of 8794,9422]/[LCM of 230,490]= 2/11270

Therefore, the GCF of 8794/230,9422/490 is 2/11270.

Greatest Common Factor of 8794,9422

To find the highest common factor of 8794,9422, we have to find the factors of both numbers and list the highest common factor.

The factors of 8794 are 1, 2, 4397, 8794

The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422

The HCF of 8794,9422 is 2.

Lets's calculate GCF of 8794,9422

Greatest Common Factor (GCF) of 8794,9422 By Common Division

2	8794, 9422
	4397, 4711

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

Greatest Common Factor of 8794,9422 By Matching Biggest Common Factor Method

Now, list down the factors of 8794

1,2,4397,8794

Now, list down the factors of 9422

1,2,7,14,673,1346,4711,9422

Greatest Common Factor

We found the factors 8794,9422 . The biggest common factor number is the GCF number.
So the greatest common factor 8794,9422 is 2.

Lets's calculate LCM of 230,490

Lowest Common Multiple of 230,490 using Common Division

2	230, 490
5	115, 245
	23, 49

∴ So the LCM of the given numbers is 2 x 5 x 23 x 49 = 11270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11270

Therefore, the GCF of Fractions 8794/230,9422/490 is 2/11270

Least Common Multiple of 230,490 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 230,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,490) = 10

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

GCF(230,490) x common factors =10 x 1 = 10

LCM(230,490) = ( 230 × 490 ) / 10

LCM(230,490) = 112700 / 10

LCM(230,490) = 11270

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FAQs on GCF of Fractions of 8794/230, 9422/490

1. What is the HCF of 8794,9422?

The HCF of 8794,9422 is 2

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 8794/230, 9422/490?

Answer: GCF of Numerators as per given numbers 8794/230, 9422/490 is

GCF of Numerators i.e. for 8794,9422 is 2

LCM of denominators i.e. for 230,490 is 11270.

Thus, GCF of Fractions is 2/11270.Finally, GCF of Fractions for 8794/230, 9422/490 is 2/11270.