Use our free GCF of Fractions Calculator tool to compute the GCF of 220/346, 886/843 i.e 2/291678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/346, 886/843.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/346,886/843
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 220/346,886/843, numerators are 220,886
Denominators are 346,843
The GCF of 220,886 is 2 .
LCM of 346,843 is 291678.
The greatest common factor of 220/346,886/843 = [GCF of 220,886]/[LCM of 346,843]= 2/291678
Therefore, the GCF of 220/346,886/843 is 2/291678.
To find the highest common factor of 220,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 886 are 1, 2, 443, 886
The HCF of 220,886 is 2.
Lets's calculate GCF of 220,886
2 | 220, 886 |
110, 443 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 220,886 . The biggest common factor number is the GCF number.
So the greatest common factor 220,886 is 2.
Lets's calculate LCM of 346,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 291678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/291678
Therefore, the GCF of Fractions 220/346,886/843 is 2/291678
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 346,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,843) x common factors =1 x 1 = 1
LCM(346,843) = ( 346 × 843 ) / 1
LCM(346,843) = 291678 / 1
LCM(346,843) = 291678
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,886?
The HCF of 220,886 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 220/346, 886/843?
Answer: GCF of Numerators as per given numbers 220/346, 886/843 is
GCF of Numerators i.e. for 220,886 is 2
LCM of denominators i.e. for 346,843 is 291678.
Thus, GCF of Fractions is 2/291678.Finally, GCF of Fractions for 220/346, 886/843 is 2/291678.