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GCF of 129/258, 2239/766

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 129/258, 2239/766 i.e 1/98814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/258, 2239/766.

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 129/258,2239/766?

Given fractions are 129/258,2239/766

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 129/258,2239/766, numerators are 129,2239

Denominators are 258,766

The GCF of 129,2239 is 1 .

LCM of 258,766 is 98814.

The greatest common factor of 129/258,2239/766 = [GCF of 129,2239]/[LCM of 258,766]= 1/98814

Therefore, the GCF of 129/258,2239/766 is 1/98814.

Greatest Common Factor of 129,2239

To find the highest common factor of 129,2239, we have to find the factors of both numbers and list the highest common factor.

The factors of 129 are 1, 3, 43, 129

The factors of 2239 are 1, 2239

The HCF of 129,2239 is 1.

Lets's calculate GCF of 129,2239

Greatest Common Factor (GCF) of 129,2239 By Common Division

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

Greatest Common Factor of 129,2239 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,2239 By Matching Biggest Common Factor Method

Now, list down the factors of 129

:

1,3,43,129

Now, list down the factors of 2239

:

1,2239

Greatest Common Factor

We found the factors 129,2239 . The biggest common factor number is the GCF number.
So the greatest common factor 129,2239 is 1.

Lets's calculate LCM of 258,766

Lowest Common Multiple of 258,766 using Common Division

2 258, 766
129, 383

∴ So the LCM of the given numbers is 2 x 129 x 383 = 98814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98814

Therefore, the GCF of Fractions 129/258,2239/766 is 1/98814

Least Common Multiple of 258,766 with GCF Formula

Least Common Multiple of 258,766 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 258,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,766) = 2

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

GCF(258,766) x common factors =2 x 1 = 2

LCM(258,766) = ( 258 × 766 ) / 2

LCM(258,766) = 197628 / 2

LCM(258,766) = 98814


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FAQs on GCF of Fractions of 129/258, 2239/766

1. What is the HCF of 129,2239?

The HCF of 129,2239 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 129/258, 2239/766?

Answer: GCF of Numerators as per given numbers 129/258, 2239/766 is

GCF of Numerators i.e. for 129,2239 is 1

LCM of denominators i.e. for 258,766 is 98814.

Thus, GCF of Fractions is 1/98814.Finally, GCF of Fractions for 129/258, 2239/766 is 1/98814.