GCF of 5150/108, 9159/1275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5150/108, 9159/1275 i.e 1/45900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5150/108, 9159/1275.
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 5150/108,9159/1275?
Given fractions are 5150/108,9159/1275
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 5150/108,9159/1275, numerators are 5150,9159
Denominators are 108,1275
The GCF of 5150,9159 is 1 .
LCM of 108,1275 is 45900.
The greatest common factor of 5150/108,9159/1275 = [GCF of 5150,9159]/[LCM of 108,1275]= 1/45900
Therefore, the GCF of 5150/108,9159/1275 is 1/45900.
To find the highest common factor of 5150,9159, we have to find the factors of both numbers and list the highest common factor.
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The HCF of 5150,9159 is 1.
Lets's calculate GCF of 5150,9159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5150,9159 By Matching Biggest Common Factor Method
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 5150,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 5150,9159 is 1.
Lets's calculate LCM of 108,1275
| 3 | 108, 1275 |
| 36, 425 |
∴ So the LCM of the given numbers is 3 x 36 x 425 = 45900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45900
Therefore, the GCF of Fractions 5150/108,9159/1275 is 1/45900
Least Common Multiple of 108,1275 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 108,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,1275) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(108,1275) x common factors =3 x 1 = 3
LCM(108,1275) = ( 108 × 1275 ) / 3
LCM(108,1275) = 137700 / 3
LCM(108,1275) = 45900
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FAQs on GCF of Fractions of 5150/108, 9159/1275
1. What is the HCF of 5150,9159?
The HCF of 5150,9159 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 5150/108, 9159/1275?
Answer: GCF of Numerators as per given numbers 5150/108, 9159/1275 is
GCF of Numerators i.e. for 5150,9159 is 1
LCM of denominators i.e. for 108,1275 is 45900.
Thus, GCF of Fractions is 1/45900.Finally, GCF of Fractions for 5150/108, 9159/1275 is 1/45900.