GCF of 9918/348, 9842/627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9918/348, 9842/627 i.e 38/72732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9918/348, 9842/627.
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 9918/348,9842/627?
Given fractions are 9918/348,9842/627
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 9918/348,9842/627, numerators are 9918,9842
Denominators are 348,627
The GCF of 9918,9842 is 38 .
LCM of 348,627 is 72732.
The greatest common factor of 9918/348,9842/627 = [GCF of 9918,9842]/[LCM of 348,627]= 38/72732
Therefore, the GCF of 9918/348,9842/627 is 38/72732.
To find the highest common factor of 9918,9842, we have to find the factors of both numbers and list the highest common factor.
The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
The factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842
The HCF of 9918,9842 is 38.
Lets's calculate GCF of 9918,9842
| 2 | 9918, 9842 |
| 19 | 4959, 4921 |
| 261, 259 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 9918,9842 By Matching Biggest Common Factor Method
Now, list down the factors of 9918
:1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Now, list down the factors of 9842
:1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842
Greatest Common Factor
We found the factors 9918,9842 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,9842 is 38.
Lets's calculate LCM of 348,627
| 3 | 348, 627 |
| 116, 209 |
∴ So the LCM of the given numbers is 3 x 116 x 209 = 72732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/72732
Therefore, the GCF of Fractions 9918/348,9842/627 is 38/72732
Least Common Multiple of 348,627 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 348,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,627) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(348,627) x common factors =3 x 1 = 3
LCM(348,627) = ( 348 × 627 ) / 3
LCM(348,627) = 218196 / 3
LCM(348,627) = 72732
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9918/348, 9842/627
1. What is the HCF of 9918,9842?
The HCF of 9918,9842 is 38
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 9918/348, 9842/627?
Answer: GCF of Numerators as per given numbers 9918/348, 9842/627 is
GCF of Numerators i.e. for 9918,9842 is 38
LCM of denominators i.e. for 348,627 is 72732.
Thus, GCF of Fractions is 38/72732.Finally, GCF of Fractions for 9918/348, 9842/627 is 38/72732.