How to Find GCF of 943/81, 230/9320?

GCF of 943/81, 230/9320

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 943/81, 230/9320 i.e 23/754920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/81, 230/9320.

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 943/81,230/9320?

Given fractions are 943/81,230/9320

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 943/81,230/9320, numerators are 943,230

Denominators are 81,9320

The GCF of 943,230 is 23 .

LCM of 81,9320 is 754920.

The greatest common factor of 943/81,230/9320 = [GCF of 943,230]/[LCM of 81,9320]= 23/754920

Therefore, the GCF of 943/81,230/9320 is 23/754920.

Greatest Common Factor of 943,230

To find the highest common factor of 943,230, we have to find the factors of both numbers and list the highest common factor.

The factors of 943 are 1, 23, 41, 943

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

The HCF of 943,230 is 23.

Lets's calculate GCF of 943,230

Greatest Common Factor (GCF) of 943,230 By Common Division

23	943, 230
	41, 10

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 943,230 By Matching Biggest Common Factor Method

Now, list down the factors of 943

1,23,41,943

Now, list down the factors of 230

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

Greatest Common Factor

We found the factors 943,230 . The biggest common factor number is the GCF number.
So the greatest common factor 943,230 is 23.

Lets's calculate LCM of 81,9320

Lowest Common Multiple of 81,9320 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 754920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/754920

Therefore, the GCF of Fractions 943/81,230/9320 is 23/754920

Least Common Multiple of 81,9320 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 81,9320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,9320) = 1

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

GCF(81,9320) x common factors =1 x 1 = 1

LCM(81,9320) = ( 81 × 9320 ) / 1

LCM(81,9320) = 754920 / 1

LCM(81,9320) = 754920

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FAQs on GCF of Fractions of 943/81, 230/9320

1. What is the HCF of 943,230?

The HCF of 943,230 is 23

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 943/81, 230/9320?

Answer: GCF of Numerators as per given numbers 943/81, 230/9320 is

GCF of Numerators i.e. for 943,230 is 23

LCM of denominators i.e. for 81,9320 is 754920.

Thus, GCF of Fractions is 23/754920.Finally, GCF of Fractions for 943/81, 230/9320 is 23/754920.