GCF of 8307/399, 3053/5509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8307/399, 3053/5509 i.e 71/314013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8307/399, 3053/5509.
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 8307/399,3053/5509?
Given fractions are 8307/399,3053/5509
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 8307/399,3053/5509, numerators are 8307,3053
Denominators are 399,5509
The GCF of 8307,3053 is 71 .
LCM of 399,5509 is 314013.
The greatest common factor of 8307/399,3053/5509 = [GCF of 8307,3053]/[LCM of 399,5509]= 71/314013
Therefore, the GCF of 8307/399,3053/5509 is 71/314013.
To find the highest common factor of 8307,3053, we have to find the factors of both numbers and list the highest common factor.
The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307
The factors of 3053 are 1, 43, 71, 3053
The HCF of 8307,3053 is 71.
Lets's calculate GCF of 8307,3053
| 71 | 8307, 3053 |
| 117, 43 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 8307,3053 By Matching Biggest Common Factor Method
Now, list down the factors of 8307
:1,3,9,13,39,71,117,213,639,923,2769,8307
Now, list down the factors of 3053
:1,43,71,3053
Greatest Common Factor
We found the factors 8307,3053 . The biggest common factor number is the GCF number.
So the greatest common factor 8307,3053 is 71.
Lets's calculate LCM of 399,5509
| 7 | 399, 5509 |
| 57, 787 |
∴ So the LCM of the given numbers is 7 x 57 x 787 = 314013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/314013
Therefore, the GCF of Fractions 8307/399,3053/5509 is 71/314013
Least Common Multiple of 399,5509 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 399,5509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,5509) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(399,5509) x common factors =7 x 1 = 7
LCM(399,5509) = ( 399 × 5509 ) / 7
LCM(399,5509) = 2198091 / 7
LCM(399,5509) = 314013
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FAQs on GCF of Fractions of 8307/399, 3053/5509
1. What is the HCF of 8307,3053?
The HCF of 8307,3053 is 71
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 8307/399, 3053/5509?
Answer: GCF of Numerators as per given numbers 8307/399, 3053/5509 is
GCF of Numerators i.e. for 8307,3053 is 71
LCM of denominators i.e. for 399,5509 is 314013.
Thus, GCF of Fractions is 71/314013.Finally, GCF of Fractions for 8307/399, 3053/5509 is 71/314013.