How to Find GCF of 6492/244, 9341/9284?

GCF of 6492/244, 9341/9284

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 6492/244, 9341/9284 i.e 1/566324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6492/244, 9341/9284.

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 6492/244,9341/9284?

Given fractions are 6492/244,9341/9284

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 6492/244,9341/9284, numerators are 6492,9341

Denominators are 244,9284

The GCF of 6492,9341 is 1 .

LCM of 244,9284 is 566324.

The greatest common factor of 6492/244,9341/9284 = [GCF of 6492,9341]/[LCM of 244,9284]= 1/566324

Therefore, the GCF of 6492/244,9341/9284 is 1/566324.

Greatest Common Factor of 6492,9341

To find the highest common factor of 6492,9341, we have to find the factors of both numbers and list the highest common factor.

The factors of 6492 are 1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246, 6492

The factors of 9341 are 1, 9341

The HCF of 6492,9341 is 1.

Lets's calculate GCF of 6492,9341

Greatest Common Factor (GCF) of 6492,9341 By Common Division

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

Greatest Common Factor of 6492,9341 By Matching Biggest Common Factor Method

Now, list down the factors of 6492

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Now, list down the factors of 9341

1,9341

Greatest Common Factor

We found the factors 6492,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 6492,9341 is 1.

Lets's calculate LCM of 244,9284

Lowest Common Multiple of 244,9284 using Common Division

2	244, 9284
2	122, 4642
	61, 2321

∴ So the LCM of the given numbers is 2 x 2 x 61 x 2321 = 566324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566324

Therefore, the GCF of Fractions 6492/244,9341/9284 is 1/566324

Least Common Multiple of 244,9284 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 244,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,9284) = 4

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

GCF(244,9284) x common factors =4 x 1 = 4

LCM(244,9284) = ( 244 × 9284 ) / 4

LCM(244,9284) = 2265296 / 4

LCM(244,9284) = 566324

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6492/244, 9341/9284

1. What is the HCF of 6492,9341?

The HCF of 6492,9341 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 6492/244, 9341/9284?

Answer: GCF of Numerators as per given numbers 6492/244, 9341/9284 is

GCF of Numerators i.e. for 6492,9341 is 1

LCM of denominators i.e. for 244,9284 is 566324.

Thus, GCF of Fractions is 1/566324.Finally, GCF of Fractions for 6492/244, 9341/9284 is 1/566324.