GCF of 806/865, 927/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 806/865, 927/829 i.e 1/717085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/865, 927/829.
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 806/865,927/829?
Given fractions are 806/865,927/829
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 806/865,927/829, numerators are 806,927
Denominators are 865,829
The GCF of 806,927 is 1 .
LCM of 865,829 is 717085.
The greatest common factor of 806/865,927/829 = [GCF of 806,927]/[LCM of 865,829]= 1/717085
Therefore, the GCF of 806/865,927/829 is 1/717085.
To find the highest common factor of 806,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 806,927 is 1.
Lets's calculate GCF of 806,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 806,927 By Matching Biggest Common Factor Method
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 806,927 . The biggest common factor number is the GCF number.
So the greatest common factor 806,927 is 1.
Lets's calculate LCM of 865,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 717085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717085
Therefore, the GCF of Fractions 806/865,927/829 is 1/717085
Least Common Multiple of 865,829 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 865,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,829) x common factors =1 x 1 = 1
LCM(865,829) = ( 865 × 829 ) / 1
LCM(865,829) = 717085 / 1
LCM(865,829) = 717085
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FAQs on GCF of Fractions of 806/865, 927/829
1. What is the HCF of 806,927?
The HCF of 806,927 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 806/865, 927/829?
Answer: GCF of Numerators as per given numbers 806/865, 927/829 is
GCF of Numerators i.e. for 806,927 is 1
LCM of denominators i.e. for 865,829 is 717085.
Thus, GCF of Fractions is 1/717085.Finally, GCF of Fractions for 806/865, 927/829 is 1/717085.