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GCF of 8449/654, 2663/818

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 8449/654, 2663/818 i.e 1/267486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8449/654, 2663/818.

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 8449/654,2663/818?

Given fractions are 8449/654,2663/818

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 8449/654,2663/818, numerators are 8449,2663

Denominators are 654,818

The GCF of 8449,2663 is 1 .

LCM of 654,818 is 267486.

The greatest common factor of 8449/654,2663/818 = [GCF of 8449,2663]/[LCM of 654,818]= 1/267486

Therefore, the GCF of 8449/654,2663/818 is 1/267486.

Greatest Common Factor of 8449,2663

To find the highest common factor of 8449,2663, we have to find the factors of both numbers and list the highest common factor.

The factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449

The factors of 2663 are 1, 2663

The HCF of 8449,2663 is 1.

Lets's calculate GCF of 8449,2663

Greatest Common Factor (GCF) of 8449,2663 By Common Division

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

Greatest Common Factor of 8449,2663 By Matching Biggest Common Factor Method

Greatest Common Factor of 8449,2663 By Matching Biggest Common Factor Method

Now, list down the factors of 8449

:

1,7,17,71,119,497,1207,8449

Now, list down the factors of 2663

:

1,2663

Greatest Common Factor

We found the factors 8449,2663 . The biggest common factor number is the GCF number.
So the greatest common factor 8449,2663 is 1.

Lets's calculate LCM of 654,818

Lowest Common Multiple of 654,818 using Common Division

2 654, 818
327, 409

∴ So the LCM of the given numbers is 2 x 327 x 409 = 267486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267486

Therefore, the GCF of Fractions 8449/654,2663/818 is 1/267486

Least Common Multiple of 654,818 with GCF Formula

Least Common Multiple of 654,818 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 654,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,818) = 2

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

GCF(654,818) x common factors =2 x 1 = 2

LCM(654,818) = ( 654 × 818 ) / 2

LCM(654,818) = 534972 / 2

LCM(654,818) = 267486


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FAQs on GCF of Fractions of 8449/654, 2663/818

1. What is the HCF of 8449,2663?

The HCF of 8449,2663 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 8449/654, 2663/818?

Answer: GCF of Numerators as per given numbers 8449/654, 2663/818 is

GCF of Numerators i.e. for 8449,2663 is 1

LCM of denominators i.e. for 654,818 is 267486.

Thus, GCF of Fractions is 1/267486.Finally, GCF of Fractions for 8449/654, 2663/818 is 1/267486.