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GCF of 8093/814, 1487/1244

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 8093/814, 1487/1244 i.e 1/506308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8093/814, 1487/1244.

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 8093/814,1487/1244?

Given fractions are 8093/814,1487/1244

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 8093/814,1487/1244, numerators are 8093,1487

Denominators are 814,1244

The GCF of 8093,1487 is 1 .

LCM of 814,1244 is 506308.

The greatest common factor of 8093/814,1487/1244 = [GCF of 8093,1487]/[LCM of 814,1244]= 1/506308

Therefore, the GCF of 8093/814,1487/1244 is 1/506308.

Greatest Common Factor of 8093,1487

To find the highest common factor of 8093,1487, we have to find the factors of both numbers and list the highest common factor.

The factors of 8093 are 1, 8093

The factors of 1487 are 1, 1487

The HCF of 8093,1487 is 1.

Lets's calculate GCF of 8093,1487

Greatest Common Factor (GCF) of 8093,1487 By Common Division

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

Greatest Common Factor of 8093,1487 By Matching Biggest Common Factor Method

Greatest Common Factor of 8093,1487 By Matching Biggest Common Factor Method

Now, list down the factors of 8093

:

1,8093

Now, list down the factors of 1487

:

1,1487

Greatest Common Factor

We found the factors 8093,1487 . The biggest common factor number is the GCF number.
So the greatest common factor 8093,1487 is 1.

Lets's calculate LCM of 814,1244

Lowest Common Multiple of 814,1244 using Common Division

2 814, 1244
407, 622

∴ So the LCM of the given numbers is 2 x 407 x 622 = 506308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506308

Therefore, the GCF of Fractions 8093/814,1487/1244 is 1/506308

Least Common Multiple of 814,1244 with GCF Formula

Least Common Multiple of 814,1244 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 814,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,1244) = 2

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

GCF(814,1244) x common factors =2 x 1 = 2

LCM(814,1244) = ( 814 × 1244 ) / 2

LCM(814,1244) = 1012616 / 2

LCM(814,1244) = 506308


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FAQs on GCF of Fractions of 8093/814, 1487/1244

1. What is the HCF of 8093,1487?

The HCF of 8093,1487 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 8093/814, 1487/1244?

Answer: GCF of Numerators as per given numbers 8093/814, 1487/1244 is

GCF of Numerators i.e. for 8093,1487 is 1

LCM of denominators i.e. for 814,1244 is 506308.

Thus, GCF of Fractions is 1/506308.Finally, GCF of Fractions for 8093/814, 1487/1244 is 1/506308.