GCF of 9915/325, 5949/4346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9915/325, 5949/4346 i.e 1983/1412450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9915/325, 5949/4346.
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 9915/325,5949/4346?
Given fractions are 9915/325,5949/4346
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 9915/325,5949/4346, numerators are 9915,5949
Denominators are 325,4346
The GCF of 9915,5949 is 1983 .
LCM of 325,4346 is 1412450.
The greatest common factor of 9915/325,5949/4346 = [GCF of 9915,5949]/[LCM of 325,4346]= 1983/1412450
Therefore, the GCF of 9915/325,5949/4346 is 1983/1412450.
To find the highest common factor of 9915,5949, we have to find the factors of both numbers and list the highest common factor.
The factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915
The factors of 5949 are 1, 3, 9, 661, 1983, 5949
The HCF of 9915,5949 is 1983.
Lets's calculate GCF of 9915,5949
| 3 | 9915, 5949 |
| 661 | 3305, 1983 |
| 5, 3 |
∴ So the GCF of the given numbers is 3 x 661 = 1983
Greatest Common Factor of 9915,5949 By Matching Biggest Common Factor Method
Now, list down the factors of 9915
:1,3,5,15,661,1983,3305,9915
Now, list down the factors of 5949
:1,3,9,661,1983,5949
Greatest Common Factor
We found the factors 9915,5949 . The biggest common factor number is the GCF number.
So the greatest common factor 9915,5949 is 1983.
Lets's calculate LCM of 325,4346
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1983/1412450
Therefore, the GCF of Fractions 9915/325,5949/4346 is 1983/1412450
Least Common Multiple of 325,4346 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 325,4346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,4346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,4346) x common factors =1 x 1 = 1
LCM(325,4346) = ( 325 × 4346 ) / 1
LCM(325,4346) = 1412450 / 1
LCM(325,4346) = 1412450
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FAQs on GCF of Fractions of 9915/325, 5949/4346
1. What is the HCF of 9915,5949?
The HCF of 9915,5949 is 1983
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 9915/325, 5949/4346?
Answer: GCF of Numerators as per given numbers 9915/325, 5949/4346 is
GCF of Numerators i.e. for 9915,5949 is 1983
LCM of denominators i.e. for 325,4346 is 1412450.
Thus, GCF of Fractions is 1983/1412450.Finally, GCF of Fractions for 9915/325, 5949/4346 is 1983/1412450.