GCF of 1317/729, 8144/2762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1317/729, 8144/2762 i.e 1/2013498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1317/729, 8144/2762.
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 1317/729,8144/2762?
Given fractions are 1317/729,8144/2762
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 1317/729,8144/2762, numerators are 1317,8144
Denominators are 729,2762
The GCF of 1317,8144 is 1 .
LCM of 729,2762 is 2013498.
The greatest common factor of 1317/729,8144/2762 = [GCF of 1317,8144]/[LCM of 729,2762]= 1/2013498
Therefore, the GCF of 1317/729,8144/2762 is 1/2013498.
To find the highest common factor of 1317,8144, we have to find the factors of both numbers and list the highest common factor.
The factors of 1317 are 1, 3, 439, 1317
The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The HCF of 1317,8144 is 1.
Lets's calculate GCF of 1317,8144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1317,8144 By Matching Biggest Common Factor Method
Now, list down the factors of 1317
:1,3,439,1317
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Greatest Common Factor
We found the factors 1317,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 1317,8144 is 1.
Lets's calculate LCM of 729,2762
Given numbers has no common factors except 1. So, there LCM is their product i.e 2013498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2013498
Therefore, the GCF of Fractions 1317/729,8144/2762 is 1/2013498
Least Common Multiple of 729,2762 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 729,2762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2762) x common factors =1 x 1 = 1
LCM(729,2762) = ( 729 × 2762 ) / 1
LCM(729,2762) = 2013498 / 1
LCM(729,2762) = 2013498
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FAQs on GCF of Fractions of 1317/729, 8144/2762
1. What is the HCF of 1317,8144?
The HCF of 1317,8144 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 1317/729, 8144/2762?
Answer: GCF of Numerators as per given numbers 1317/729, 8144/2762 is
GCF of Numerators i.e. for 1317,8144 is 1
LCM of denominators i.e. for 729,2762 is 2013498.
Thus, GCF of Fractions is 1/2013498.Finally, GCF of Fractions for 1317/729, 8144/2762 is 1/2013498.