GCF of 9827/113, 9576/6851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9827/113, 9576/6851 i.e 1/774163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9827/113, 9576/6851.
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 9827/113,9576/6851?
Given fractions are 9827/113,9576/6851
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 9827/113,9576/6851, numerators are 9827,9576
Denominators are 113,6851
The GCF of 9827,9576 is 1 .
LCM of 113,6851 is 774163.
The greatest common factor of 9827/113,9576/6851 = [GCF of 9827,9576]/[LCM of 113,6851]= 1/774163
Therefore, the GCF of 9827/113,9576/6851 is 1/774163.
To find the highest common factor of 9827,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 9827 are 1, 31, 317, 9827
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 9827,9576 is 1.
Lets's calculate GCF of 9827,9576
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9827,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 9827
:1,31,317,9827
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 9827,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 9827,9576 is 1.
Lets's calculate LCM of 113,6851
Given numbers has no common factors except 1. So, there LCM is their product i.e 774163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/774163
Therefore, the GCF of Fractions 9827/113,9576/6851 is 1/774163
Least Common Multiple of 113,6851 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 113,6851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,6851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,6851) x common factors =1 x 1 = 1
LCM(113,6851) = ( 113 × 6851 ) / 1
LCM(113,6851) = 774163 / 1
LCM(113,6851) = 774163
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FAQs on GCF of Fractions of 9827/113, 9576/6851
1. What is the HCF of 9827,9576?
The HCF of 9827,9576 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 9827/113, 9576/6851?
Answer: GCF of Numerators as per given numbers 9827/113, 9576/6851 is
GCF of Numerators i.e. for 9827,9576 is 1
LCM of denominators i.e. for 113,6851 is 774163.
Thus, GCF of Fractions is 1/774163.Finally, GCF of Fractions for 9827/113, 9576/6851 is 1/774163.