GCF of 8109/557, 7732/1377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8109/557, 7732/1377 i.e 1/766989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8109/557, 7732/1377.
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 8109/557,7732/1377?
Given fractions are 8109/557,7732/1377
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 8109/557,7732/1377, numerators are 8109,7732
Denominators are 557,1377
The GCF of 8109,7732 is 1 .
LCM of 557,1377 is 766989.
The greatest common factor of 8109/557,7732/1377 = [GCF of 8109,7732]/[LCM of 557,1377]= 1/766989
Therefore, the GCF of 8109/557,7732/1377 is 1/766989.
To find the highest common factor of 8109,7732, we have to find the factors of both numbers and list the highest common factor.
The factors of 8109 are 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109
The factors of 7732 are 1, 2, 4, 1933, 3866, 7732
The HCF of 8109,7732 is 1.
Lets's calculate GCF of 8109,7732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8109,7732 By Matching Biggest Common Factor Method
Now, list down the factors of 8109
:1,3,9,17,51,53,153,159,477,901,2703,8109
Now, list down the factors of 7732
:1,2,4,1933,3866,7732
Greatest Common Factor
We found the factors 8109,7732 . The biggest common factor number is the GCF number.
So the greatest common factor 8109,7732 is 1.
Lets's calculate LCM of 557,1377
Given numbers has no common factors except 1. So, there LCM is their product i.e 766989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766989
Therefore, the GCF of Fractions 8109/557,7732/1377 is 1/766989
Least Common Multiple of 557,1377 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 557,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,1377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,1377) x common factors =1 x 1 = 1
LCM(557,1377) = ( 557 × 1377 ) / 1
LCM(557,1377) = 766989 / 1
LCM(557,1377) = 766989
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FAQs on GCF of Fractions of 8109/557, 7732/1377
1. What is the HCF of 8109,7732?
The HCF of 8109,7732 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 8109/557, 7732/1377?
Answer: GCF of Numerators as per given numbers 8109/557, 7732/1377 is
GCF of Numerators i.e. for 8109,7732 is 1
LCM of denominators i.e. for 557,1377 is 766989.
Thus, GCF of Fractions is 1/766989.Finally, GCF of Fractions for 8109/557, 7732/1377 is 1/766989.