GCF of 9268/240, 1615/5750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9268/240, 1615/5750 i.e 1/138000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9268/240, 1615/5750.
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 9268/240,1615/5750?
Given fractions are 9268/240,1615/5750
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 9268/240,1615/5750, numerators are 9268,1615
Denominators are 240,5750
The GCF of 9268,1615 is 1 .
LCM of 240,5750 is 138000.
The greatest common factor of 9268/240,1615/5750 = [GCF of 9268,1615]/[LCM of 240,5750]= 1/138000
Therefore, the GCF of 9268/240,1615/5750 is 1/138000.
To find the highest common factor of 9268,1615, we have to find the factors of both numbers and list the highest common factor.
The factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The HCF of 9268,1615 is 1.
Lets's calculate GCF of 9268,1615
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9268,1615 By Matching Biggest Common Factor Method
Now, list down the factors of 9268
:1,2,4,7,14,28,331,662,1324,2317,4634,9268
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Greatest Common Factor
We found the factors 9268,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 9268,1615 is 1.
Lets's calculate LCM of 240,5750
| 2 | 240, 5750 |
| 5 | 120, 2875 |
| 24, 575 |
∴ So the LCM of the given numbers is 2 x 5 x 24 x 575 = 138000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138000
Therefore, the GCF of Fractions 9268/240,1615/5750 is 1/138000
Least Common Multiple of 240,5750 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 240,5750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,5750) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(240,5750) x common factors =10 x 1 = 10
LCM(240,5750) = ( 240 × 5750 ) / 10
LCM(240,5750) = 1380000 / 10
LCM(240,5750) = 138000
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FAQs on GCF of Fractions of 9268/240, 1615/5750
1. What is the HCF of 9268,1615?
The HCF of 9268,1615 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 9268/240, 1615/5750?
Answer: GCF of Numerators as per given numbers 9268/240, 1615/5750 is
GCF of Numerators i.e. for 9268,1615 is 1
LCM of denominators i.e. for 240,5750 is 138000.
Thus, GCF of Fractions is 1/138000.Finally, GCF of Fractions for 9268/240, 1615/5750 is 1/138000.