GCF of 4398/955, 8538/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4398/955, 8538/286 i.e 6/273130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4398/955, 8538/286.
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 4398/955,8538/286?
Given fractions are 4398/955,8538/286
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 4398/955,8538/286, numerators are 4398,8538
Denominators are 955,286
The GCF of 4398,8538 is 6 .
LCM of 955,286 is 273130.
The greatest common factor of 4398/955,8538/286 = [GCF of 4398,8538]/[LCM of 955,286]= 6/273130
Therefore, the GCF of 4398/955,8538/286 is 6/273130.
To find the highest common factor of 4398,8538, we have to find the factors of both numbers and list the highest common factor.
The factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The HCF of 4398,8538 is 6.
Lets's calculate GCF of 4398,8538
| 2 | 4398, 8538 |
| 3 | 2199, 4269 |
| 733, 1423 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4398,8538 By Matching Biggest Common Factor Method
Now, list down the factors of 4398
:1,2,3,6,733,1466,2199,4398
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 4398,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 4398,8538 is 6.
Lets's calculate LCM of 955,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 273130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/273130
Therefore, the GCF of Fractions 4398/955,8538/286 is 6/273130
Least Common Multiple of 955,286 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 955,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,286) x common factors =1 x 1 = 1
LCM(955,286) = ( 955 × 286 ) / 1
LCM(955,286) = 273130 / 1
LCM(955,286) = 273130
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FAQs on GCF of Fractions of 4398/955, 8538/286
1. What is the HCF of 4398,8538?
The HCF of 4398,8538 is 6
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 4398/955, 8538/286?
Answer: GCF of Numerators as per given numbers 4398/955, 8538/286 is
GCF of Numerators i.e. for 4398,8538 is 6
LCM of denominators i.e. for 955,286 is 273130.
Thus, GCF of Fractions is 6/273130.Finally, GCF of Fractions for 4398/955, 8538/286 is 6/273130.