How to Find GCF of 8447/768, 1266/8623?

GCF of 8447/768, 1266/8623

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 8447/768, 1266/8623 i.e 1/6622464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8447/768, 1266/8623.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8447/768,1266/8623?

Given fractions are 8447/768,1266/8623

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 8447/768,1266/8623, numerators are 8447,1266

Denominators are 768,8623

The GCF of 8447,1266 is 1 .

LCM of 768,8623 is 6622464.

The greatest common factor of 8447/768,1266/8623 = [GCF of 8447,1266]/[LCM of 768,8623]= 1/6622464

Therefore, the GCF of 8447/768,1266/8623 is 1/6622464.

Greatest Common Factor of 8447,1266

To find the highest common factor of 8447,1266, we have to find the factors of both numbers and list the highest common factor.

The factors of 8447 are 1, 8447

The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266

The HCF of 8447,1266 is 1.

Lets's calculate GCF of 8447,1266

Greatest Common Factor (GCF) of 8447,1266 By Common Division

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

Greatest Common Factor of 8447,1266 By Matching Biggest Common Factor Method

Now, list down the factors of 8447

1,8447

Now, list down the factors of 1266

1,2,3,6,211,422,633,1266

Greatest Common Factor

We found the factors 8447,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 8447,1266 is 1.

Lets's calculate LCM of 768,8623

Lowest Common Multiple of 768,8623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6622464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6622464

Therefore, the GCF of Fractions 8447/768,1266/8623 is 1/6622464

Least Common Multiple of 768,8623 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 768,8623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,8623) = 1

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

GCF(768,8623) x common factors =1 x 1 = 1

LCM(768,8623) = ( 768 × 8623 ) / 1

LCM(768,8623) = 6622464 / 1

LCM(768,8623) = 6622464

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FAQs on GCF of Fractions of 8447/768, 1266/8623

1. What is the HCF of 8447,1266?

The HCF of 8447,1266 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 8447/768, 1266/8623?

Answer: GCF of Numerators as per given numbers 8447/768, 1266/8623 is

GCF of Numerators i.e. for 8447,1266 is 1

LCM of denominators i.e. for 768,8623 is 6622464.

Thus, GCF of Fractions is 1/6622464.Finally, GCF of Fractions for 8447/768, 1266/8623 is 1/6622464.