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GCF of 391/450, 493/221

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 391/450, 493/221 i.e 17/99450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/450, 493/221.

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 391/450,493/221?

Given fractions are 391/450,493/221

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 391/450,493/221, numerators are 391,493

Denominators are 450,221

The GCF of 391,493 is 17 .

LCM of 450,221 is 99450.

The greatest common factor of 391/450,493/221 = [GCF of 391,493]/[LCM of 450,221]= 17/99450

Therefore, the GCF of 391/450,493/221 is 17/99450.

Greatest Common Factor of 391,493

To find the highest common factor of 391,493, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 493 are 1, 17, 29, 493

The HCF of 391,493 is 17.

Lets's calculate GCF of 391,493

Greatest Common Factor (GCF) of 391,493 By Common Division

17 391, 493
23, 29

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 391,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,493 By Matching Biggest Common Factor Method

Now, list down the factors of 391

:

1,17,23,391

Now, list down the factors of 493

:

1,17,29,493

Greatest Common Factor

We found the factors 391,493 . The biggest common factor number is the GCF number.
So the greatest common factor 391,493 is 17.

Lets's calculate LCM of 450,221

Lowest Common Multiple of 450,221 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 99450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/99450

Therefore, the GCF of Fractions 391/450,493/221 is 17/99450

Least Common Multiple of 450,221 with GCF Formula

Least Common Multiple of 450,221 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 450,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,221) = 1

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

GCF(450,221) x common factors =1 x 1 = 1

LCM(450,221) = ( 450 × 221 ) / 1

LCM(450,221) = 99450 / 1

LCM(450,221) = 99450


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 391/450, 493/221

1. What is the HCF of 391,493?

The HCF of 391,493 is 17

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 391/450, 493/221?

Answer: GCF of Numerators as per given numbers 391/450, 493/221 is

GCF of Numerators i.e. for 391,493 is 17

LCM of denominators i.e. for 450,221 is 99450.

Thus, GCF of Fractions is 17/99450.Finally, GCF of Fractions for 391/450, 493/221 is 17/99450.