GCF of 1275/305, 4815/2254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1275/305, 4815/2254 i.e 15/687470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1275/305, 4815/2254.
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 1275/305,4815/2254?
Given fractions are 1275/305,4815/2254
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 1275/305,4815/2254, numerators are 1275,4815
Denominators are 305,2254
The GCF of 1275,4815 is 15 .
LCM of 305,2254 is 687470.
The greatest common factor of 1275/305,4815/2254 = [GCF of 1275,4815]/[LCM of 305,2254]= 15/687470
Therefore, the GCF of 1275/305,4815/2254 is 15/687470.
To find the highest common factor of 1275,4815, we have to find the factors of both numbers and list the highest common factor.
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815
The HCF of 1275,4815 is 15.
Lets's calculate GCF of 1275,4815
| 3 | 1275, 4815 |
| 5 | 425, 1605 |
| 85, 321 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1275,4815 By Matching Biggest Common Factor Method
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Now, list down the factors of 4815
:1,3,5,9,15,45,107,321,535,963,1605,4815
Greatest Common Factor
We found the factors 1275,4815 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,4815 is 15.
Lets's calculate LCM of 305,2254
Given numbers has no common factors except 1. So, there LCM is their product i.e 687470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/687470
Therefore, the GCF of Fractions 1275/305,4815/2254 is 15/687470
Least Common Multiple of 305,2254 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 305,2254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,2254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,2254) x common factors =1 x 1 = 1
LCM(305,2254) = ( 305 × 2254 ) / 1
LCM(305,2254) = 687470 / 1
LCM(305,2254) = 687470
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FAQs on GCF of Fractions of 1275/305, 4815/2254
1. What is the HCF of 1275,4815?
The HCF of 1275,4815 is 15
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 1275/305, 4815/2254?
Answer: GCF of Numerators as per given numbers 1275/305, 4815/2254 is
GCF of Numerators i.e. for 1275,4815 is 15
LCM of denominators i.e. for 305,2254 is 687470.
Thus, GCF of Fractions is 15/687470.Finally, GCF of Fractions for 1275/305, 4815/2254 is 15/687470.