Use our free GCF of Fractions Calculator tool to compute the GCF of 844/470, 211/109 i.e 211/51230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/470, 211/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/470,211/109
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 844/470,211/109, numerators are 844,211
Denominators are 470,109
The GCF of 844,211 is 211 .
LCM of 470,109 is 51230.
The greatest common factor of 844/470,211/109 = [GCF of 844,211]/[LCM of 470,109]= 211/51230
Therefore, the GCF of 844/470,211/109 is 211/51230.
To find the highest common factor of 844,211, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 211 are 1, 211
The HCF of 844,211 is 211.
Lets's calculate GCF of 844,211
211 | 844, 211 |
4, 1 |
∴ So the GCF of the given numbers is 211 = 211
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 211
:1,211
Greatest Common Factor
We found the factors 844,211 . The biggest common factor number is the GCF number.
So the greatest common factor 844,211 is 211.
Lets's calculate LCM of 470,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 51230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 211/51230
Therefore, the GCF of Fractions 844/470,211/109 is 211/51230
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 470,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,109) x common factors =1 x 1 = 1
LCM(470,109) = ( 470 × 109 ) / 1
LCM(470,109) = 51230 / 1
LCM(470,109) = 51230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 844,211?
The HCF of 844,211 is 211
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 844/470, 211/109?
Answer: GCF of Numerators as per given numbers 844/470, 211/109 is
GCF of Numerators i.e. for 844,211 is 211
LCM of denominators i.e. for 470,109 is 51230.
Thus, GCF of Fractions is 211/51230.Finally, GCF of Fractions for 844/470, 211/109 is 211/51230.