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GCF of 44/109, 494/354

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 44/109, 494/354 i.e 2/38586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/109, 494/354.

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 44/109,494/354?

Given fractions are 44/109,494/354

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 44/109,494/354, numerators are 44,494

Denominators are 109,354

The GCF of 44,494 is 2 .

LCM of 109,354 is 38586.

The greatest common factor of 44/109,494/354 = [GCF of 44,494]/[LCM of 109,354]= 2/38586

Therefore, the GCF of 44/109,494/354 is 2/38586.

Greatest Common Factor of 44,494

To find the highest common factor of 44,494, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

The HCF of 44,494 is 2.

Lets's calculate GCF of 44,494

Greatest Common Factor (GCF) of 44,494 By Common Division

2 44, 494
22, 247

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

Greatest Common Factor of 44,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,494 By Matching Biggest Common Factor Method

Now, list down the factors of 44

:

1,2,4,11,22,44

Now, list down the factors of 494

:

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 44,494 . The biggest common factor number is the GCF number.
So the greatest common factor 44,494 is 2.

Lets's calculate LCM of 109,354

Lowest Common Multiple of 109,354 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38586

Therefore, the GCF of Fractions 44/109,494/354 is 2/38586

Least Common Multiple of 109,354 with GCF Formula

Least Common Multiple of 109,354 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 109,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,354) = 1

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

GCF(109,354) x common factors =1 x 1 = 1

LCM(109,354) = ( 109 × 354 ) / 1

LCM(109,354) = 38586 / 1

LCM(109,354) = 38586


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FAQs on GCF of Fractions of 44/109, 494/354

1. What is the HCF of 44,494?

The HCF of 44,494 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 44/109, 494/354?

Answer: GCF of Numerators as per given numbers 44/109, 494/354 is

GCF of Numerators i.e. for 44,494 is 2

LCM of denominators i.e. for 109,354 is 38586.

Thus, GCF of Fractions is 2/38586.Finally, GCF of Fractions for 44/109, 494/354 is 2/38586.