GCF of 8526/335, 7311/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8526/335, 7311/385 i.e 3/25795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8526/335, 7311/385.
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 8526/335,7311/385?
Given fractions are 8526/335,7311/385
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 8526/335,7311/385, numerators are 8526,7311
Denominators are 335,385
The GCF of 8526,7311 is 3 .
LCM of 335,385 is 25795.
The greatest common factor of 8526/335,7311/385 = [GCF of 8526,7311]/[LCM of 335,385]= 3/25795
Therefore, the GCF of 8526/335,7311/385 is 3/25795.
To find the highest common factor of 8526,7311, we have to find the factors of both numbers and list the highest common factor.
The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The factors of 7311 are 1, 3, 2437, 7311
The HCF of 8526,7311 is 3.
Lets's calculate GCF of 8526,7311
| 3 | 8526, 7311 |
| 2842, 2437 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8526,7311 By Matching Biggest Common Factor Method
Now, list down the factors of 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Now, list down the factors of 7311
:1,3,2437,7311
Greatest Common Factor
We found the factors 8526,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 8526,7311 is 3.
Lets's calculate LCM of 335,385
| 5 | 335, 385 |
| 67, 77 |
∴ So the LCM of the given numbers is 5 x 67 x 77 = 25795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25795
Therefore, the GCF of Fractions 8526/335,7311/385 is 3/25795
Least Common Multiple of 335,385 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 335,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(335,385) x common factors =5 x 1 = 5
LCM(335,385) = ( 335 × 385 ) / 5
LCM(335,385) = 128975 / 5
LCM(335,385) = 25795
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FAQs on GCF of Fractions of 8526/335, 7311/385
1. What is the HCF of 8526,7311?
The HCF of 8526,7311 is 3
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 8526/335, 7311/385?
Answer: GCF of Numerators as per given numbers 8526/335, 7311/385 is
GCF of Numerators i.e. for 8526,7311 is 3
LCM of denominators i.e. for 335,385 is 25795.
Thus, GCF of Fractions is 3/25795.Finally, GCF of Fractions for 8526/335, 7311/385 is 3/25795.