GCF of 9798/315, 4152/2166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9798/315, 4152/2166 i.e 6/227430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9798/315, 4152/2166.
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 9798/315,4152/2166?
Given fractions are 9798/315,4152/2166
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 9798/315,4152/2166, numerators are 9798,4152
Denominators are 315,2166
The GCF of 9798,4152 is 6 .
LCM of 315,2166 is 227430.
The greatest common factor of 9798/315,4152/2166 = [GCF of 9798,4152]/[LCM of 315,2166]= 6/227430
Therefore, the GCF of 9798/315,4152/2166 is 6/227430.
To find the highest common factor of 9798,4152, we have to find the factors of both numbers and list the highest common factor.
The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
The factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152
The HCF of 9798,4152 is 6.
Lets's calculate GCF of 9798,4152
| 2 | 9798, 4152 |
| 3 | 4899, 2076 |
| 1633, 692 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9798,4152 By Matching Biggest Common Factor Method
Now, list down the factors of 9798
:1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Now, list down the factors of 4152
:1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Greatest Common Factor
We found the factors 9798,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 9798,4152 is 6.
Lets's calculate LCM of 315,2166
| 3 | 315, 2166 |
| 105, 722 |
∴ So the LCM of the given numbers is 3 x 105 x 722 = 227430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/227430
Therefore, the GCF of Fractions 9798/315,4152/2166 is 6/227430
Least Common Multiple of 315,2166 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 315,2166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,2166) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(315,2166) x common factors =3 x 1 = 3
LCM(315,2166) = ( 315 × 2166 ) / 3
LCM(315,2166) = 682290 / 3
LCM(315,2166) = 227430
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FAQs on GCF of Fractions of 9798/315, 4152/2166
1. What is the HCF of 9798,4152?
The HCF of 9798,4152 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 9798/315, 4152/2166?
Answer: GCF of Numerators as per given numbers 9798/315, 4152/2166 is
GCF of Numerators i.e. for 9798,4152 is 6
LCM of denominators i.e. for 315,2166 is 227430.
Thus, GCF of Fractions is 6/227430.Finally, GCF of Fractions for 9798/315, 4152/2166 is 6/227430.