GCF of 8282/315, 6929/9367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8282/315, 6929/9367 i.e 41/2950605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8282/315, 6929/9367.
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 8282/315,6929/9367?
Given fractions are 8282/315,6929/9367
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 8282/315,6929/9367, numerators are 8282,6929
Denominators are 315,9367
The GCF of 8282,6929 is 41 .
LCM of 315,9367 is 2950605.
The greatest common factor of 8282/315,6929/9367 = [GCF of 8282,6929]/[LCM of 315,9367]= 41/2950605
Therefore, the GCF of 8282/315,6929/9367 is 41/2950605.
To find the highest common factor of 8282,6929, we have to find the factors of both numbers and list the highest common factor.
The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282
The factors of 6929 are 1, 13, 41, 169, 533, 6929
The HCF of 8282,6929 is 41.
Lets's calculate GCF of 8282,6929
| 41 | 8282, 6929 |
| 202, 169 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 8282,6929 By Matching Biggest Common Factor Method
Now, list down the factors of 8282
:1,2,41,82,101,202,4141,8282
Now, list down the factors of 6929
:1,13,41,169,533,6929
Greatest Common Factor
We found the factors 8282,6929 . The biggest common factor number is the GCF number.
So the greatest common factor 8282,6929 is 41.
Lets's calculate LCM of 315,9367
Given numbers has no common factors except 1. So, there LCM is their product i.e 2950605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2950605
Therefore, the GCF of Fractions 8282/315,6929/9367 is 41/2950605
Least Common Multiple of 315,9367 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 315,9367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,9367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,9367) x common factors =1 x 1 = 1
LCM(315,9367) = ( 315 × 9367 ) / 1
LCM(315,9367) = 2950605 / 1
LCM(315,9367) = 2950605
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FAQs on GCF of Fractions of 8282/315, 6929/9367
1. What is the HCF of 8282,6929?
The HCF of 8282,6929 is 41
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 8282/315, 6929/9367?
Answer: GCF of Numerators as per given numbers 8282/315, 6929/9367 is
GCF of Numerators i.e. for 8282,6929 is 41
LCM of denominators i.e. for 315,9367 is 2950605.
Thus, GCF of Fractions is 41/2950605.Finally, GCF of Fractions for 8282/315, 6929/9367 is 41/2950605.