Use our free GCF of Fractions Calculator tool to compute the GCF of 4568/161, 9478/6801 i.e 2/1094961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4568/161, 9478/6801.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4568/161,9478/6801
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 4568/161,9478/6801, numerators are 4568,9478
Denominators are 161,6801
The GCF of 4568,9478 is 2 .
LCM of 161,6801 is 1094961.
The greatest common factor of 4568/161,9478/6801 = [GCF of 4568,9478]/[LCM of 161,6801]= 2/1094961
Therefore, the GCF of 4568/161,9478/6801 is 2/1094961.
To find the highest common factor of 4568,9478, we have to find the factors of both numbers and list the highest common factor.
The factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568
The factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478
The HCF of 4568,9478 is 2.
Lets's calculate GCF of 4568,9478
2 | 4568, 9478 |
2284, 4739 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4568
:1,2,4,8,571,1142,2284,4568
Now, list down the factors of 9478
:1,2,7,14,677,1354,4739,9478
Greatest Common Factor
We found the factors 4568,9478 . The biggest common factor number is the GCF number.
So the greatest common factor 4568,9478 is 2.
Lets's calculate LCM of 161,6801
Given numbers has no common factors except 1. So, there LCM is their product i.e 1094961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1094961
Therefore, the GCF of Fractions 4568/161,9478/6801 is 2/1094961
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 161,6801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,6801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,6801) x common factors =1 x 1 = 1
LCM(161,6801) = ( 161 × 6801 ) / 1
LCM(161,6801) = 1094961 / 1
LCM(161,6801) = 1094961
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4568,9478?
The HCF of 4568,9478 is 2
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 4568/161, 9478/6801?
Answer: GCF of Numerators as per given numbers 4568/161, 9478/6801 is
GCF of Numerators i.e. for 4568,9478 is 2
LCM of denominators i.e. for 161,6801 is 1094961.
Thus, GCF of Fractions is 2/1094961.Finally, GCF of Fractions for 4568/161, 9478/6801 is 2/1094961.