GCF of 9915/738, 5099/5188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9915/738, 5099/5188 i.e 1/1914372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9915/738, 5099/5188.
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 9915/738,5099/5188?
Given fractions are 9915/738,5099/5188
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 9915/738,5099/5188, numerators are 9915,5099
Denominators are 738,5188
The GCF of 9915,5099 is 1 .
LCM of 738,5188 is 1914372.
The greatest common factor of 9915/738,5099/5188 = [GCF of 9915,5099]/[LCM of 738,5188]= 1/1914372
Therefore, the GCF of 9915/738,5099/5188 is 1/1914372.
To find the highest common factor of 9915,5099, 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 5099 are 1, 5099
The HCF of 9915,5099 is 1.
Lets's calculate GCF of 9915,5099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9915,5099 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 5099
:1,5099
Greatest Common Factor
We found the factors 9915,5099 . The biggest common factor number is the GCF number.
So the greatest common factor 9915,5099 is 1.
Lets's calculate LCM of 738,5188
| 2 | 738, 5188 |
| 369, 2594 |
∴ So the LCM of the given numbers is 2 x 369 x 2594 = 1914372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1914372
Therefore, the GCF of Fractions 9915/738,5099/5188 is 1/1914372
Least Common Multiple of 738,5188 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 738,5188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,5188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,5188) x common factors =2 x 1 = 2
LCM(738,5188) = ( 738 × 5188 ) / 2
LCM(738,5188) = 3828744 / 2
LCM(738,5188) = 1914372
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FAQs on GCF of Fractions of 9915/738, 5099/5188
1. What is the HCF of 9915,5099?
The HCF of 9915,5099 is 1
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 9915/738, 5099/5188?
Answer: GCF of Numerators as per given numbers 9915/738, 5099/5188 is
GCF of Numerators i.e. for 9915,5099 is 1
LCM of denominators i.e. for 738,5188 is 1914372.
Thus, GCF of Fractions is 1/1914372.Finally, GCF of Fractions for 9915/738, 5099/5188 is 1/1914372.