GCF of 3165/512, 4710/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3165/512, 4710/900 i.e 15/115200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3165/512, 4710/900.
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 3165/512,4710/900?
Given fractions are 3165/512,4710/900
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 3165/512,4710/900, numerators are 3165,4710
Denominators are 512,900
The GCF of 3165,4710 is 15 .
LCM of 512,900 is 115200.
The greatest common factor of 3165/512,4710/900 = [GCF of 3165,4710]/[LCM of 512,900]= 15/115200
Therefore, the GCF of 3165/512,4710/900 is 15/115200.
To find the highest common factor of 3165,4710, we have to find the factors of both numbers and list the highest common factor.
The factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165
The factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
The HCF of 3165,4710 is 15.
Lets's calculate GCF of 3165,4710
| 3 | 3165, 4710 |
| 5 | 1055, 1570 |
| 211, 314 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3165,4710 By Matching Biggest Common Factor Method
Now, list down the factors of 3165
:1,3,5,15,211,633,1055,3165
Now, list down the factors of 4710
:1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710
Greatest Common Factor
We found the factors 3165,4710 . The biggest common factor number is the GCF number.
So the greatest common factor 3165,4710 is 15.
Lets's calculate LCM of 512,900
| 2 | 512, 900 |
| 2 | 256, 450 |
| 128, 225 |
∴ So the LCM of the given numbers is 2 x 2 x 128 x 225 = 115200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/115200
Therefore, the GCF of Fractions 3165/512,4710/900 is 15/115200
Least Common Multiple of 512,900 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 512,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(512,900) x common factors =4 x 1 = 4
LCM(512,900) = ( 512 × 900 ) / 4
LCM(512,900) = 460800 / 4
LCM(512,900) = 115200
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FAQs on GCF of Fractions of 3165/512, 4710/900
1. What is the HCF of 3165,4710?
The HCF of 3165,4710 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 3165/512, 4710/900?
Answer: GCF of Numerators as per given numbers 3165/512, 4710/900 is
GCF of Numerators i.e. for 3165,4710 is 15
LCM of denominators i.e. for 512,900 is 115200.
Thus, GCF of Fractions is 15/115200.Finally, GCF of Fractions for 3165/512, 4710/900 is 15/115200.