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GCF of 398/11, 404/332

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 398/11, 404/332 i.e 2/3652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/11, 404/332.

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 398/11,404/332?

Given fractions are 398/11,404/332

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 398/11,404/332, numerators are 398,404

Denominators are 11,332

The GCF of 398,404 is 2 .

LCM of 11,332 is 3652.

The greatest common factor of 398/11,404/332 = [GCF of 398,404]/[LCM of 11,332]= 2/3652

Therefore, the GCF of 398/11,404/332 is 2/3652.

Greatest Common Factor of 398,404

To find the highest common factor of 398,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 398 are 1, 2, 199, 398

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 398,404 is 2.

Lets's calculate GCF of 398,404

Greatest Common Factor (GCF) of 398,404 By Common Division

2 398, 404
199, 202

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

Greatest Common Factor of 398,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,404 By Matching Biggest Common Factor Method

Now, list down the factors of 398

:

1,2,199,398

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 398,404 . The biggest common factor number is the GCF number.
So the greatest common factor 398,404 is 2.

Lets's calculate LCM of 11,332

Lowest Common Multiple of 11,332 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3652

Therefore, the GCF of Fractions 398/11,404/332 is 2/3652

Least Common Multiple of 11,332 with GCF Formula

Least Common Multiple of 11,332 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 11,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,332) = 1

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

GCF(11,332) x common factors =1 x 1 = 1

LCM(11,332) = ( 11 × 332 ) / 1

LCM(11,332) = 3652 / 1

LCM(11,332) = 3652


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FAQs on GCF of Fractions of 398/11, 404/332

1. What is the HCF of 398,404?

The HCF of 398,404 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 398/11, 404/332?

Answer: GCF of Numerators as per given numbers 398/11, 404/332 is

GCF of Numerators i.e. for 398,404 is 2

LCM of denominators i.e. for 11,332 is 3652.

Thus, GCF of Fractions is 2/3652.Finally, GCF of Fractions for 398/11, 404/332 is 2/3652.