GCF of 4302/159, 8642/8198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4302/159, 8642/8198 i.e 2/1303482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4302/159, 8642/8198.
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 4302/159,8642/8198?
Given fractions are 4302/159,8642/8198
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 4302/159,8642/8198, numerators are 4302,8642
Denominators are 159,8198
The GCF of 4302,8642 is 2 .
LCM of 159,8198 is 1303482.
The greatest common factor of 4302/159,8642/8198 = [GCF of 4302,8642]/[LCM of 159,8198]= 2/1303482
Therefore, the GCF of 4302/159,8642/8198 is 2/1303482.
To find the highest common factor of 4302,8642, we have to find the factors of both numbers and list the highest common factor.
The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302
The factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642
The HCF of 4302,8642 is 2.
Lets's calculate GCF of 4302,8642
| 2 | 4302, 8642 |
| 2151, 4321 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4302,8642 By Matching Biggest Common Factor Method
Now, list down the factors of 4302
:1,2,3,6,9,18,239,478,717,1434,2151,4302
Now, list down the factors of 8642
:1,2,29,58,149,298,4321,8642
Greatest Common Factor
We found the factors 4302,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 4302,8642 is 2.
Lets's calculate LCM of 159,8198
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1303482
Therefore, the GCF of Fractions 4302/159,8642/8198 is 2/1303482
Least Common Multiple of 159,8198 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 159,8198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8198) x common factors =1 x 1 = 1
LCM(159,8198) = ( 159 × 8198 ) / 1
LCM(159,8198) = 1303482 / 1
LCM(159,8198) = 1303482
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FAQs on GCF of Fractions of 4302/159, 8642/8198
1. What is the HCF of 4302,8642?
The HCF of 4302,8642 is 2
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 4302/159, 8642/8198?
Answer: GCF of Numerators as per given numbers 4302/159, 8642/8198 is
GCF of Numerators i.e. for 4302,8642 is 2
LCM of denominators i.e. for 159,8198 is 1303482.
Thus, GCF of Fractions is 2/1303482.Finally, GCF of Fractions for 4302/159, 8642/8198 is 2/1303482.