GCF of 6135/966, 8270/4864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6135/966, 8270/4864 i.e 5/2349312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6135/966, 8270/4864.
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 6135/966,8270/4864?
Given fractions are 6135/966,8270/4864
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 6135/966,8270/4864, numerators are 6135,8270
Denominators are 966,4864
The GCF of 6135,8270 is 5 .
LCM of 966,4864 is 2349312.
The greatest common factor of 6135/966,8270/4864 = [GCF of 6135,8270]/[LCM of 966,4864]= 5/2349312
Therefore, the GCF of 6135/966,8270/4864 is 5/2349312.
To find the highest common factor of 6135,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 6135 are 1, 3, 5, 15, 409, 1227, 2045, 6135
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 6135,8270 is 5.
Lets's calculate GCF of 6135,8270
| 5 | 6135, 8270 |
| 1227, 1654 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6135,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 6135
:1,3,5,15,409,1227,2045,6135
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 6135,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,8270 is 5.
Lets's calculate LCM of 966,4864
| 2 | 966, 4864 |
| 483, 2432 |
∴ So the LCM of the given numbers is 2 x 483 x 2432 = 2349312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2349312
Therefore, the GCF of Fractions 6135/966,8270/4864 is 5/2349312
Least Common Multiple of 966,4864 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 966,4864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,4864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,4864) x common factors =2 x 1 = 2
LCM(966,4864) = ( 966 × 4864 ) / 2
LCM(966,4864) = 4698624 / 2
LCM(966,4864) = 2349312
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FAQs on GCF of Fractions of 6135/966, 8270/4864
1. What is the HCF of 6135,8270?
The HCF of 6135,8270 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 6135/966, 8270/4864?
Answer: GCF of Numerators as per given numbers 6135/966, 8270/4864 is
GCF of Numerators i.e. for 6135,8270 is 5
LCM of denominators i.e. for 966,4864 is 2349312.
Thus, GCF of Fractions is 5/2349312.Finally, GCF of Fractions for 6135/966, 8270/4864 is 5/2349312.