GCF of 8024/438, 8109/8819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8024/438, 8109/8819 i.e 17/3862722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8024/438, 8109/8819.
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 8024/438,8109/8819?
Given fractions are 8024/438,8109/8819
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 8024/438,8109/8819, numerators are 8024,8109
Denominators are 438,8819
The GCF of 8024,8109 is 17 .
LCM of 438,8819 is 3862722.
The greatest common factor of 8024/438,8109/8819 = [GCF of 8024,8109]/[LCM of 438,8819]= 17/3862722
Therefore, the GCF of 8024/438,8109/8819 is 17/3862722.
To find the highest common factor of 8024,8109, we have to find the factors of both numbers and list the highest common factor.
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The factors of 8109 are 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109
The HCF of 8024,8109 is 17.
Lets's calculate GCF of 8024,8109
| 17 | 8024, 8109 |
| 472, 477 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8024,8109 By Matching Biggest Common Factor Method
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Now, list down the factors of 8109
:1,3,9,17,51,53,153,159,477,901,2703,8109
Greatest Common Factor
We found the factors 8024,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 8024,8109 is 17.
Lets's calculate LCM of 438,8819
Given numbers has no common factors except 1. So, there LCM is their product i.e 3862722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3862722
Therefore, the GCF of Fractions 8024/438,8109/8819 is 17/3862722
Least Common Multiple of 438,8819 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 438,8819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,8819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,8819) x common factors =1 x 1 = 1
LCM(438,8819) = ( 438 × 8819 ) / 1
LCM(438,8819) = 3862722 / 1
LCM(438,8819) = 3862722
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FAQs on GCF of Fractions of 8024/438, 8109/8819
1. What is the HCF of 8024,8109?
The HCF of 8024,8109 is 17
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 8024/438, 8109/8819?
Answer: GCF of Numerators as per given numbers 8024/438, 8109/8819 is
GCF of Numerators i.e. for 8024,8109 is 17
LCM of denominators i.e. for 438,8819 is 3862722.
Thus, GCF of Fractions is 17/3862722.Finally, GCF of Fractions for 8024/438, 8109/8819 is 17/3862722.