GCF of 9215/299, 5141/1160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9215/299, 5141/1160 i.e 97/346840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9215/299, 5141/1160.
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 9215/299,5141/1160?
Given fractions are 9215/299,5141/1160
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 9215/299,5141/1160, numerators are 9215,5141
Denominators are 299,1160
The GCF of 9215,5141 is 97 .
LCM of 299,1160 is 346840.
The greatest common factor of 9215/299,5141/1160 = [GCF of 9215,5141]/[LCM of 299,1160]= 97/346840
Therefore, the GCF of 9215/299,5141/1160 is 97/346840.
To find the highest common factor of 9215,5141, we have to find the factors of both numbers and list the highest common factor.
The factors of 9215 are 1, 5, 19, 95, 97, 485, 1843, 9215
The factors of 5141 are 1, 53, 97, 5141
The HCF of 9215,5141 is 97.
Lets's calculate GCF of 9215,5141
| 97 | 9215, 5141 |
| 95, 53 |
∴ So the GCF of the given numbers is 97 = 97
Greatest Common Factor of 9215,5141 By Matching Biggest Common Factor Method
Now, list down the factors of 9215
:1,5,19,95,97,485,1843,9215
Now, list down the factors of 5141
:1,53,97,5141
Greatest Common Factor
We found the factors 9215,5141 . The biggest common factor number is the GCF number.
So the greatest common factor 9215,5141 is 97.
Lets's calculate LCM of 299,1160
Given numbers has no common factors except 1. So, there LCM is their product i.e 346840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/346840
Therefore, the GCF of Fractions 9215/299,5141/1160 is 97/346840
Least Common Multiple of 299,1160 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 299,1160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,1160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,1160) x common factors =1 x 1 = 1
LCM(299,1160) = ( 299 × 1160 ) / 1
LCM(299,1160) = 346840 / 1
LCM(299,1160) = 346840
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FAQs on GCF of Fractions of 9215/299, 5141/1160
1. What is the HCF of 9215,5141?
The HCF of 9215,5141 is 97
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 9215/299, 5141/1160?
Answer: GCF of Numerators as per given numbers 9215/299, 5141/1160 is
GCF of Numerators i.e. for 9215,5141 is 97
LCM of denominators i.e. for 299,1160 is 346840.
Thus, GCF of Fractions is 97/346840.Finally, GCF of Fractions for 9215/299, 5141/1160 is 97/346840.