GCF of 4566/128, 7212/3198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4566/128, 7212/3198 i.e 6/204672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4566/128, 7212/3198.
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 4566/128,7212/3198?
Given fractions are 4566/128,7212/3198
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 4566/128,7212/3198, numerators are 4566,7212
Denominators are 128,3198
The GCF of 4566,7212 is 6 .
LCM of 128,3198 is 204672.
The greatest common factor of 4566/128,7212/3198 = [GCF of 4566,7212]/[LCM of 128,3198]= 6/204672
Therefore, the GCF of 4566/128,7212/3198 is 6/204672.
To find the highest common factor of 4566,7212, we have to find the factors of both numbers and list the highest common factor.
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212
The HCF of 4566,7212 is 6.
Lets's calculate GCF of 4566,7212
| 2 | 4566, 7212 |
| 3 | 2283, 3606 |
| 761, 1202 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4566,7212 By Matching Biggest Common Factor Method
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Now, list down the factors of 7212
:1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Greatest Common Factor
We found the factors 4566,7212 . The biggest common factor number is the GCF number.
So the greatest common factor 4566,7212 is 6.
Lets's calculate LCM of 128,3198
| 2 | 128, 3198 |
| 64, 1599 |
∴ So the LCM of the given numbers is 2 x 64 x 1599 = 204672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/204672
Therefore, the GCF of Fractions 4566/128,7212/3198 is 6/204672
Least Common Multiple of 128,3198 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 128,3198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,3198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,3198) x common factors =2 x 1 = 2
LCM(128,3198) = ( 128 × 3198 ) / 2
LCM(128,3198) = 409344 / 2
LCM(128,3198) = 204672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4566/128, 7212/3198
1. What is the HCF of 4566,7212?
The HCF of 4566,7212 is 6
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 4566/128, 7212/3198?
Answer: GCF of Numerators as per given numbers 4566/128, 7212/3198 is
GCF of Numerators i.e. for 4566,7212 is 6
LCM of denominators i.e. for 128,3198 is 204672.
Thus, GCF of Fractions is 6/204672.Finally, GCF of Fractions for 4566/128, 7212/3198 is 6/204672.