GCF of 8046/138, 7289/792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8046/138, 7289/792 i.e 1/18216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8046/138, 7289/792.
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 8046/138,7289/792?
Given fractions are 8046/138,7289/792
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 8046/138,7289/792, numerators are 8046,7289
Denominators are 138,792
The GCF of 8046,7289 is 1 .
LCM of 138,792 is 18216.
The greatest common factor of 8046/138,7289/792 = [GCF of 8046,7289]/[LCM of 138,792]= 1/18216
Therefore, the GCF of 8046/138,7289/792 is 1/18216.
To find the highest common factor of 8046,7289, we have to find the factors of both numbers and list the highest common factor.
The factors of 8046 are 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046
The factors of 7289 are 1, 37, 197, 7289
The HCF of 8046,7289 is 1.
Lets's calculate GCF of 8046,7289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8046,7289 By Matching Biggest Common Factor Method
Now, list down the factors of 8046
:1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046
Now, list down the factors of 7289
:1,37,197,7289
Greatest Common Factor
We found the factors 8046,7289 . The biggest common factor number is the GCF number.
So the greatest common factor 8046,7289 is 1.
Lets's calculate LCM of 138,792
| 2 | 138, 792 |
| 3 | 69, 396 |
| 23, 132 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 132 = 18216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18216
Therefore, the GCF of Fractions 8046/138,7289/792 is 1/18216
Least Common Multiple of 138,792 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 138,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,792) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(138,792) x common factors =6 x 1 = 6
LCM(138,792) = ( 138 × 792 ) / 6
LCM(138,792) = 109296 / 6
LCM(138,792) = 18216
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FAQs on GCF of Fractions of 8046/138, 7289/792
1. What is the HCF of 8046,7289?
The HCF of 8046,7289 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 8046/138, 7289/792?
Answer: GCF of Numerators as per given numbers 8046/138, 7289/792 is
GCF of Numerators i.e. for 8046,7289 is 1
LCM of denominators i.e. for 138,792 is 18216.
Thus, GCF of Fractions is 1/18216.Finally, GCF of Fractions for 8046/138, 7289/792 is 1/18216.