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GCF of 8513/768, 2180/927

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 8513/768, 2180/927 i.e 1/237312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8513/768, 2180/927.

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 8513/768,2180/927?

Given fractions are 8513/768,2180/927

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 8513/768,2180/927, numerators are 8513,2180

Denominators are 768,927

The GCF of 8513,2180 is 1 .

LCM of 768,927 is 237312.

The greatest common factor of 8513/768,2180/927 = [GCF of 8513,2180]/[LCM of 768,927]= 1/237312

Therefore, the GCF of 8513/768,2180/927 is 1/237312.

Greatest Common Factor of 8513,2180

To find the highest common factor of 8513,2180, we have to find the factors of both numbers and list the highest common factor.

The factors of 8513 are 1, 8513

The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

The HCF of 8513,2180 is 1.

Lets's calculate GCF of 8513,2180

Greatest Common Factor (GCF) of 8513,2180 By Common Division

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

Greatest Common Factor of 8513,2180 By Matching Biggest Common Factor Method

Greatest Common Factor of 8513,2180 By Matching Biggest Common Factor Method

Now, list down the factors of 8513

:

1,8513

Now, list down the factors of 2180

:

1,2,4,5,10,20,109,218,436,545,1090,2180

Greatest Common Factor

We found the factors 8513,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 8513,2180 is 1.

Lets's calculate LCM of 768,927

Lowest Common Multiple of 768,927 using Common Division

3 768, 927
256, 309

∴ So the LCM of the given numbers is 3 x 256 x 309 = 237312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237312

Therefore, the GCF of Fractions 8513/768,2180/927 is 1/237312

Least Common Multiple of 768,927 with GCF Formula

Least Common Multiple of 768,927 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 768,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,927) = 3

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

GCF(768,927) x common factors =3 x 1 = 3

LCM(768,927) = ( 768 × 927 ) / 3

LCM(768,927) = 711936 / 3

LCM(768,927) = 237312


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FAQs on GCF of Fractions of 8513/768, 2180/927

1. What is the HCF of 8513,2180?

The HCF of 8513,2180 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 8513/768, 2180/927?

Answer: GCF of Numerators as per given numbers 8513/768, 2180/927 is

GCF of Numerators i.e. for 8513,2180 is 1

LCM of denominators i.e. for 768,927 is 237312.

Thus, GCF of Fractions is 1/237312.Finally, GCF of Fractions for 8513/768, 2180/927 is 1/237312.