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GCF of 271/998, 7827/640

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 271/998, 7827/640 i.e 1/319360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/998, 7827/640.

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 271/998,7827/640?

Given fractions are 271/998,7827/640

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 271/998,7827/640, numerators are 271,7827

Denominators are 998,640

The GCF of 271,7827 is 1 .

LCM of 998,640 is 319360.

The greatest common factor of 271/998,7827/640 = [GCF of 271,7827]/[LCM of 998,640]= 1/319360

Therefore, the GCF of 271/998,7827/640 is 1/319360.

Greatest Common Factor of 271,7827

To find the highest common factor of 271,7827, we have to find the factors of both numbers and list the highest common factor.

The factors of 271 are 1, 271

The factors of 7827 are 1, 3, 2609, 7827

The HCF of 271,7827 is 1.

Lets's calculate GCF of 271,7827

Greatest Common Factor (GCF) of 271,7827 By Common Division

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

Greatest Common Factor of 271,7827 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,7827 By Matching Biggest Common Factor Method

Now, list down the factors of 271

:

1,271

Now, list down the factors of 7827

:

1,3,2609,7827

Greatest Common Factor

We found the factors 271,7827 . The biggest common factor number is the GCF number.
So the greatest common factor 271,7827 is 1.

Lets's calculate LCM of 998,640

Lowest Common Multiple of 998,640 using Common Division

2 998, 640
499, 320

∴ So the LCM of the given numbers is 2 x 499 x 320 = 319360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319360

Therefore, the GCF of Fractions 271/998,7827/640 is 1/319360

Least Common Multiple of 998,640 with GCF Formula

Least Common Multiple of 998,640 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 998,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,640) = 2

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

GCF(998,640) x common factors =2 x 1 = 2

LCM(998,640) = ( 998 × 640 ) / 2

LCM(998,640) = 638720 / 2

LCM(998,640) = 319360


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FAQs on GCF of Fractions of 271/998, 7827/640

1. What is the HCF of 271,7827?

The HCF of 271,7827 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 271/998, 7827/640?

Answer: GCF of Numerators as per given numbers 271/998, 7827/640 is

GCF of Numerators i.e. for 271,7827 is 1

LCM of denominators i.e. for 998,640 is 319360.

Thus, GCF of Fractions is 1/319360.Finally, GCF of Fractions for 271/998, 7827/640 is 1/319360.