How to Find GCF of 9441/420, 5230/2732?

GCF of 9441/420, 5230/2732

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 9441/420, 5230/2732 i.e 1/286860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9441/420, 5230/2732.

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 9441/420,5230/2732?

Given fractions are 9441/420,5230/2732

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 9441/420,5230/2732, numerators are 9441,5230

Denominators are 420,2732

The GCF of 9441,5230 is 1 .

LCM of 420,2732 is 286860.

The greatest common factor of 9441/420,5230/2732 = [GCF of 9441,5230]/[LCM of 420,2732]= 1/286860

Therefore, the GCF of 9441/420,5230/2732 is 1/286860.

Greatest Common Factor of 9441,5230

To find the highest common factor of 9441,5230, we have to find the factors of both numbers and list the highest common factor.

The factors of 9441 are 1, 3, 9, 1049, 3147, 9441

The factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230

The HCF of 9441,5230 is 1.

Lets's calculate GCF of 9441,5230

Greatest Common Factor (GCF) of 9441,5230 By Common Division

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

Greatest Common Factor of 9441,5230 By Matching Biggest Common Factor Method

Now, list down the factors of 9441

1,3,9,1049,3147,9441

Now, list down the factors of 5230

1,2,5,10,523,1046,2615,5230

Greatest Common Factor

We found the factors 9441,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 9441,5230 is 1.

Lets's calculate LCM of 420,2732

Lowest Common Multiple of 420,2732 using Common Division

2	420, 2732
2	210, 1366
	105, 683

∴ So the LCM of the given numbers is 2 x 2 x 105 x 683 = 286860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286860

Therefore, the GCF of Fractions 9441/420,5230/2732 is 1/286860

Least Common Multiple of 420,2732 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 420,2732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,2732) = 4

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

GCF(420,2732) x common factors =4 x 1 = 4

LCM(420,2732) = ( 420 × 2732 ) / 4

LCM(420,2732) = 1147440 / 4

LCM(420,2732) = 286860

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FAQs on GCF of Fractions of 9441/420, 5230/2732

1. What is the HCF of 9441,5230?

The HCF of 9441,5230 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 9441/420, 5230/2732?

Answer: GCF of Numerators as per given numbers 9441/420, 5230/2732 is

GCF of Numerators i.e. for 9441,5230 is 1

LCM of denominators i.e. for 420,2732 is 286860.

Thus, GCF of Fractions is 1/286860.Finally, GCF of Fractions for 9441/420, 5230/2732 is 1/286860.