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GCF of 44/398, 3274/8754

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 44/398, 3274/8754 i.e 2/1742046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/398, 3274/8754.

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 44/398,3274/8754?

Given fractions are 44/398,3274/8754

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 44/398,3274/8754, numerators are 44,3274

Denominators are 398,8754

The GCF of 44,3274 is 2 .

LCM of 398,8754 is 1742046.

The greatest common factor of 44/398,3274/8754 = [GCF of 44,3274]/[LCM of 398,8754]= 2/1742046

Therefore, the GCF of 44/398,3274/8754 is 2/1742046.

Greatest Common Factor of 44,3274

To find the highest common factor of 44,3274, 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 3274 are 1, 2, 1637, 3274

The HCF of 44,3274 is 2.

Lets's calculate GCF of 44,3274

Greatest Common Factor (GCF) of 44,3274 By Common Division

2 44, 3274
22, 1637

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

Greatest Common Factor of 44,3274 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,3274 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 3274

:

1,2,1637,3274

Greatest Common Factor

We found the factors 44,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 44,3274 is 2.


Lets's calculate LCM of 398,8754

Lowest Common Multiple of 398,8754 using Common Division

2 398, 8754
199, 4377

∴ So the LCM of the given numbers is 2 x 199 x 4377 = 1742046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1742046

Therefore, the GCF of Fractions 44/398,3274/8754 is 2/1742046

Least Common Multiple of 398,8754 with GCF Formula

Least Common Multiple of 398,8754 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 398,8754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,8754) = 2

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

GCF(398,8754) x common factors =2 x 1 = 2

LCM(398,8754) = ( 398 × 8754 ) / 2

LCM(398,8754) = 3484092 / 2

LCM(398,8754) = 1742046


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 44/398, 3274/8754

1. What is the HCF of 44,3274?

The HCF of 44,3274 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 44/398, 3274/8754?

Answer: GCF of Numerators as per given numbers 44/398, 3274/8754 is

GCF of Numerators i.e. for 44,3274 is 2

LCM of denominators i.e. for 398,8754 is 1742046.

Thus, GCF of Fractions is 2/1742046.Finally, GCF of Fractions for 44/398, 3274/8754 is 2/1742046.