GCF of 8669/102, 4793/4059
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8669/102, 4793/4059 i.e 1/138006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8669/102, 4793/4059.
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 8669/102,4793/4059?
Given fractions are 8669/102,4793/4059
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 8669/102,4793/4059, numerators are 8669,4793
Denominators are 102,4059
The GCF of 8669,4793 is 1 .
LCM of 102,4059 is 138006.
The greatest common factor of 8669/102,4793/4059 = [GCF of 8669,4793]/[LCM of 102,4059]= 1/138006
Therefore, the GCF of 8669/102,4793/4059 is 1/138006.
To find the highest common factor of 8669,4793, we have to find the factors of both numbers and list the highest common factor.
The factors of 8669 are 1, 8669
The factors of 4793 are 1, 4793
The HCF of 8669,4793 is 1.
Lets's calculate GCF of 8669,4793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8669,4793 By Matching Biggest Common Factor Method
Now, list down the factors of 8669
:1,8669
Now, list down the factors of 4793
:1,4793
Greatest Common Factor
We found the factors 8669,4793 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,4793 is 1.
Lets's calculate LCM of 102,4059
| 3 | 102, 4059 |
| 34, 1353 |
∴ So the LCM of the given numbers is 3 x 34 x 1353 = 138006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138006
Therefore, the GCF of Fractions 8669/102,4793/4059 is 1/138006
Least Common Multiple of 102,4059 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 102,4059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,4059) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,4059) x common factors =3 x 1 = 3
LCM(102,4059) = ( 102 × 4059 ) / 3
LCM(102,4059) = 414018 / 3
LCM(102,4059) = 138006
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FAQs on GCF of Fractions of 8669/102, 4793/4059
1. What is the HCF of 8669,4793?
The HCF of 8669,4793 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 8669/102, 4793/4059?
Answer: GCF of Numerators as per given numbers 8669/102, 4793/4059 is
GCF of Numerators i.e. for 8669,4793 is 1
LCM of denominators i.e. for 102,4059 is 138006.
Thus, GCF of Fractions is 1/138006.Finally, GCF of Fractions for 8669/102, 4793/4059 is 1/138006.