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GCF of 1847/258, 2317/298

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 1847/258, 2317/298 i.e 1/38442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1847/258, 2317/298.

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 1847/258,2317/298?

Given fractions are 1847/258,2317/298

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 1847/258,2317/298, numerators are 1847,2317

Denominators are 258,298

The GCF of 1847,2317 is 1 .

LCM of 258,298 is 38442.

The greatest common factor of 1847/258,2317/298 = [GCF of 1847,2317]/[LCM of 258,298]= 1/38442

Therefore, the GCF of 1847/258,2317/298 is 1/38442.

Greatest Common Factor of 1847,2317

To find the highest common factor of 1847,2317, we have to find the factors of both numbers and list the highest common factor.

The factors of 1847 are 1, 1847

The factors of 2317 are 1, 7, 331, 2317

The HCF of 1847,2317 is 1.

Lets's calculate GCF of 1847,2317

Greatest Common Factor (GCF) of 1847,2317 By Common Division

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

Greatest Common Factor of 1847,2317 By Matching Biggest Common Factor Method

Greatest Common Factor of 1847,2317 By Matching Biggest Common Factor Method

Now, list down the factors of 1847

:

1,1847

Now, list down the factors of 2317

:

1,7,331,2317

Greatest Common Factor

We found the factors 1847,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 1847,2317 is 1.

Lets's calculate LCM of 258,298

Lowest Common Multiple of 258,298 using Common Division

2 258, 298
129, 149

∴ So the LCM of the given numbers is 2 x 129 x 149 = 38442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38442

Therefore, the GCF of Fractions 1847/258,2317/298 is 1/38442

Least Common Multiple of 258,298 with GCF Formula

Least Common Multiple of 258,298 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 258,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,298) = 2

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

GCF(258,298) x common factors =2 x 1 = 2

LCM(258,298) = ( 258 × 298 ) / 2

LCM(258,298) = 76884 / 2

LCM(258,298) = 38442


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FAQs on GCF of Fractions of 1847/258, 2317/298

1. What is the HCF of 1847,2317?

The HCF of 1847,2317 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 1847/258, 2317/298?

Answer: GCF of Numerators as per given numbers 1847/258, 2317/298 is

GCF of Numerators i.e. for 1847,2317 is 1

LCM of denominators i.e. for 258,298 is 38442.

Thus, GCF of Fractions is 1/38442.Finally, GCF of Fractions for 1847/258, 2317/298 is 1/38442.