GCF of 4015/312, 1750/4288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4015/312, 1750/4288 i.e 5/167232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4015/312, 1750/4288.
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 4015/312,1750/4288?
Given fractions are 4015/312,1750/4288
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 4015/312,1750/4288, numerators are 4015,1750
Denominators are 312,4288
The GCF of 4015,1750 is 5 .
LCM of 312,4288 is 167232.
The greatest common factor of 4015/312,1750/4288 = [GCF of 4015,1750]/[LCM of 312,4288]= 5/167232
Therefore, the GCF of 4015/312,1750/4288 is 5/167232.
To find the highest common factor of 4015,1750, we have to find the factors of both numbers and list the highest common factor.
The factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The HCF of 4015,1750 is 5.
Lets's calculate GCF of 4015,1750
| 5 | 4015, 1750 |
| 803, 350 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4015,1750 By Matching Biggest Common Factor Method
Now, list down the factors of 4015
:1,5,11,55,73,365,803,4015
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Greatest Common Factor
We found the factors 4015,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 4015,1750 is 5.
Lets's calculate LCM of 312,4288
| 2 | 312, 4288 |
| 2 | 156, 2144 |
| 2 | 78, 1072 |
| 39, 536 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 536 = 167232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/167232
Therefore, the GCF of Fractions 4015/312,1750/4288 is 5/167232
Least Common Multiple of 312,4288 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 312,4288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,4288) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(312,4288) x common factors =8 x 1 = 8
LCM(312,4288) = ( 312 × 4288 ) / 8
LCM(312,4288) = 1337856 / 8
LCM(312,4288) = 167232
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FAQs on GCF of Fractions of 4015/312, 1750/4288
1. What is the HCF of 4015,1750?
The HCF of 4015,1750 is 5
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 4015/312, 1750/4288?
Answer: GCF of Numerators as per given numbers 4015/312, 1750/4288 is
GCF of Numerators i.e. for 4015,1750 is 5
LCM of denominators i.e. for 312,4288 is 167232.
Thus, GCF of Fractions is 5/167232.Finally, GCF of Fractions for 4015/312, 1750/4288 is 5/167232.