Use our free GCF of Fractions Calculator tool to compute the GCF of 4227/529, 1671/2144 i.e 3/1134176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4227/529, 1671/2144.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4227/529,1671/2144
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 4227/529,1671/2144, numerators are 4227,1671
Denominators are 529,2144
The GCF of 4227,1671 is 3 .
LCM of 529,2144 is 1134176.
The greatest common factor of 4227/529,1671/2144 = [GCF of 4227,1671]/[LCM of 529,2144]= 3/1134176
Therefore, the GCF of 4227/529,1671/2144 is 3/1134176.
To find the highest common factor of 4227,1671, we have to find the factors of both numbers and list the highest common factor.
The factors of 4227 are 1, 3, 1409, 4227
The factors of 1671 are 1, 3, 557, 1671
The HCF of 4227,1671 is 3.
Lets's calculate GCF of 4227,1671
3 | 4227, 1671 |
1409, 557 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 4227
:1,3,1409,4227
Now, list down the factors of 1671
:1,3,557,1671
Greatest Common Factor
We found the factors 4227,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 4227,1671 is 3.
Lets's calculate LCM of 529,2144
Given numbers has no common factors except 1. So, there LCM is their product i.e 1134176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1134176
Therefore, the GCF of Fractions 4227/529,1671/2144 is 3/1134176
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 529,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,2144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,2144) x common factors =1 x 1 = 1
LCM(529,2144) = ( 529 × 2144 ) / 1
LCM(529,2144) = 1134176 / 1
LCM(529,2144) = 1134176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4227,1671?
The HCF of 4227,1671 is 3
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 4227/529, 1671/2144?
Answer: GCF of Numerators as per given numbers 4227/529, 1671/2144 is
GCF of Numerators i.e. for 4227,1671 is 3
LCM of denominators i.e. for 529,2144 is 1134176.
Thus, GCF of Fractions is 3/1134176.Finally, GCF of Fractions for 4227/529, 1671/2144 is 3/1134176.