GCF of 1109/729, 7930/4367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1109/729, 7930/4367 i.e 1/3183543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1109/729, 7930/4367.
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 1109/729,7930/4367?
Given fractions are 1109/729,7930/4367
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 1109/729,7930/4367, numerators are 1109,7930
Denominators are 729,4367
The GCF of 1109,7930 is 1 .
LCM of 729,4367 is 3183543.
The greatest common factor of 1109/729,7930/4367 = [GCF of 1109,7930]/[LCM of 729,4367]= 1/3183543
Therefore, the GCF of 1109/729,7930/4367 is 1/3183543.
To find the highest common factor of 1109,7930, we have to find the factors of both numbers and list the highest common factor.
The factors of 1109 are 1, 1109
The factors of 7930 are 1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965, 7930
The HCF of 1109,7930 is 1.
Lets's calculate GCF of 1109,7930
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1109,7930 By Matching Biggest Common Factor Method
Now, list down the factors of 1109
:1,1109
Now, list down the factors of 7930
:1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930
Greatest Common Factor
We found the factors 1109,7930 . The biggest common factor number is the GCF number.
So the greatest common factor 1109,7930 is 1.
Lets's calculate LCM of 729,4367
Given numbers has no common factors except 1. So, there LCM is their product i.e 3183543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3183543
Therefore, the GCF of Fractions 1109/729,7930/4367 is 1/3183543
Least Common Multiple of 729,4367 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 729,4367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,4367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,4367) x common factors =1 x 1 = 1
LCM(729,4367) = ( 729 × 4367 ) / 1
LCM(729,4367) = 3183543 / 1
LCM(729,4367) = 3183543
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FAQs on GCF of Fractions of 1109/729, 7930/4367
1. What is the HCF of 1109,7930?
The HCF of 1109,7930 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 1109/729, 7930/4367?
Answer: GCF of Numerators as per given numbers 1109/729, 7930/4367 is
GCF of Numerators i.e. for 1109,7930 is 1
LCM of denominators i.e. for 729,4367 is 3183543.
Thus, GCF of Fractions is 1/3183543.Finally, GCF of Fractions for 1109/729, 7930/4367 is 1/3183543.