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GCF of 458/38, 310/279

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 458/38, 310/279 i.e 2/10602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 458/38, 310/279.

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 458/38,310/279?

Given fractions are 458/38,310/279

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 458/38,310/279, numerators are 458,310

Denominators are 38,279

The GCF of 458,310 is 2 .

LCM of 38,279 is 10602.

The greatest common factor of 458/38,310/279 = [GCF of 458,310]/[LCM of 38,279]= 2/10602

Therefore, the GCF of 458/38,310/279 is 2/10602.

Greatest Common Factor of 458,310

To find the highest common factor of 458,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 458 are 1, 2, 229, 458

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 458,310 is 2.

Lets's calculate GCF of 458,310

Greatest Common Factor (GCF) of 458,310 By Common Division

2 458, 310
229, 155

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

Greatest Common Factor of 458,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,310 By Matching Biggest Common Factor Method

Now, list down the factors of 458

:

1,2,229,458

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 458,310 . The biggest common factor number is the GCF number.
So the greatest common factor 458,310 is 2.

Lets's calculate LCM of 38,279

Lowest Common Multiple of 38,279 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10602

Therefore, the GCF of Fractions 458/38,310/279 is 2/10602

Least Common Multiple of 38,279 with GCF Formula

Least Common Multiple of 38,279 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 38,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,279) = 1

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

GCF(38,279) x common factors =1 x 1 = 1

LCM(38,279) = ( 38 × 279 ) / 1

LCM(38,279) = 10602 / 1

LCM(38,279) = 10602


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FAQs on GCF of Fractions of 458/38, 310/279

1. What is the HCF of 458,310?

The HCF of 458,310 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 458/38, 310/279?

Answer: GCF of Numerators as per given numbers 458/38, 310/279 is

GCF of Numerators i.e. for 458,310 is 2

LCM of denominators i.e. for 38,279 is 10602.

Thus, GCF of Fractions is 2/10602.Finally, GCF of Fractions for 458/38, 310/279 is 2/10602.