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GCF of 230/89, 442/1105

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 230/89, 442/1105 i.e 2/98345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/89, 442/1105.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 230/89,442/1105?

Given fractions are 230/89,442/1105

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 230/89,442/1105, numerators are 230,442

Denominators are 89,1105

The GCF of 230,442 is 2 .

LCM of 89,1105 is 98345.

The greatest common factor of 230/89,442/1105 = [GCF of 230,442]/[LCM of 89,1105]= 2/98345

Therefore, the GCF of 230/89,442/1105 is 2/98345.

Greatest Common Factor of 230,442

To find the highest common factor of 230,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 230,442 is 2.

Lets's calculate GCF of 230,442

Greatest Common Factor (GCF) of 230,442 By Common Division

2 230, 442
115, 221

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

Greatest Common Factor of 230,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,442 By Matching Biggest Common Factor Method

Now, list down the factors of 230

:

1,2,5,10,23,46,115,230

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 230,442 . The biggest common factor number is the GCF number.
So the greatest common factor 230,442 is 2.

Lets's calculate LCM of 89,1105

Lowest Common Multiple of 89,1105 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 98345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98345

Therefore, the GCF of Fractions 230/89,442/1105 is 2/98345

Least Common Multiple of 89,1105 with GCF Formula

Least Common Multiple of 89,1105 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,1105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,1105) = 1

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

GCF(89,1105) x common factors =1 x 1 = 1

LCM(89,1105) = ( 89 × 1105 ) / 1

LCM(89,1105) = 98345 / 1

LCM(89,1105) = 98345


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FAQs on GCF of Fractions of 230/89, 442/1105

1. What is the HCF of 230,442?

The HCF of 230,442 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 230/89, 442/1105?

Answer: GCF of Numerators as per given numbers 230/89, 442/1105 is

GCF of Numerators i.e. for 230,442 is 2

LCM of denominators i.e. for 89,1105 is 98345.

Thus, GCF of Fractions is 2/98345.Finally, GCF of Fractions for 230/89, 442/1105 is 2/98345.