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GCF of 239/258, 101/392

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 239/258, 101/392 i.e 1/50568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/258, 101/392.

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 239/258,101/392?

Given fractions are 239/258,101/392

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 239/258,101/392, numerators are 239,101

Denominators are 258,392

The GCF of 239,101 is 1 .

LCM of 258,392 is 50568.

The greatest common factor of 239/258,101/392 = [GCF of 239,101]/[LCM of 258,392]= 1/50568

Therefore, the GCF of 239/258,101/392 is 1/50568.

Greatest Common Factor of 239,101

To find the highest common factor of 239,101, we have to find the factors of both numbers and list the highest common factor.

The factors of 239 are 1, 239

The factors of 101 are 1, 101

The HCF of 239,101 is 1.

Lets's calculate GCF of 239,101

Greatest Common Factor (GCF) of 239,101 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 239,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,101 By Matching Biggest Common Factor Method

Now, list down the factors of 239

:

1,239

Now, list down the factors of 101

:

1,101

Greatest Common Factor

We found the factors 239,101 . The biggest common factor number is the GCF number.
So the greatest common factor 239,101 is 1.

Lets's calculate LCM of 258,392

Lowest Common Multiple of 258,392 using Common Division

2 258, 392
129, 196

∴ So the LCM of the given numbers is 2 x 129 x 196 = 50568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50568

Therefore, the GCF of Fractions 239/258,101/392 is 1/50568

Least Common Multiple of 258,392 with GCF Formula

Least Common Multiple of 258,392 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 258,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,392) = 2

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

GCF(258,392) x common factors =2 x 1 = 2

LCM(258,392) = ( 258 × 392 ) / 2

LCM(258,392) = 101136 / 2

LCM(258,392) = 50568


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FAQs on GCF of Fractions of 239/258, 101/392

1. What is the HCF of 239,101?

The HCF of 239,101 is 1

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 239/258, 101/392?

Answer: GCF of Numerators as per given numbers 239/258, 101/392 is

GCF of Numerators i.e. for 239,101 is 1

LCM of denominators i.e. for 258,392 is 50568.

Thus, GCF of Fractions is 1/50568.Finally, GCF of Fractions for 239/258, 101/392 is 1/50568.