How to Find GCF of 9349/244, 1243/1404?

GCF of 9349/244, 1243/1404

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 9349/244, 1243/1404 i.e 1/85644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9349/244, 1243/1404.

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 9349/244,1243/1404?

Given fractions are 9349/244,1243/1404

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 9349/244,1243/1404, numerators are 9349,1243

Denominators are 244,1404

The GCF of 9349,1243 is 1 .

LCM of 244,1404 is 85644.

The greatest common factor of 9349/244,1243/1404 = [GCF of 9349,1243]/[LCM of 244,1404]= 1/85644

Therefore, the GCF of 9349/244,1243/1404 is 1/85644.

Greatest Common Factor of 9349,1243

To find the highest common factor of 9349,1243, we have to find the factors of both numbers and list the highest common factor.

The factors of 9349 are 1, 9349

The factors of 1243 are 1, 11, 113, 1243

The HCF of 9349,1243 is 1.

Lets's calculate GCF of 9349,1243

Greatest Common Factor (GCF) of 9349,1243 By Common Division

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

Greatest Common Factor of 9349,1243 By Matching Biggest Common Factor Method

Now, list down the factors of 9349

1,9349

Now, list down the factors of 1243

1,11,113,1243

Greatest Common Factor

We found the factors 9349,1243 . The biggest common factor number is the GCF number.
So the greatest common factor 9349,1243 is 1.

Lets's calculate LCM of 244,1404

Lowest Common Multiple of 244,1404 using Common Division

2	244, 1404
2	122, 702
	61, 351

∴ So the LCM of the given numbers is 2 x 2 x 61 x 351 = 85644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85644

Therefore, the GCF of Fractions 9349/244,1243/1404 is 1/85644

Least Common Multiple of 244,1404 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 244,1404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,1404) = 4

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

GCF(244,1404) x common factors =4 x 1 = 4

LCM(244,1404) = ( 244 × 1404 ) / 4

LCM(244,1404) = 342576 / 4

LCM(244,1404) = 85644

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FAQs on GCF of Fractions of 9349/244, 1243/1404

1. What is the HCF of 9349,1243?

The HCF of 9349,1243 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 9349/244, 1243/1404?

Answer: GCF of Numerators as per given numbers 9349/244, 1243/1404 is

GCF of Numerators i.e. for 9349,1243 is 1

LCM of denominators i.e. for 244,1404 is 85644.

Thus, GCF of Fractions is 1/85644.Finally, GCF of Fractions for 9349/244, 1243/1404 is 1/85644.