Use our free GCF of Fractions Calculator tool to compute the GCF of 202/299, 850/214 i.e 2/63986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/299, 850/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/299,850/214
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 202/299,850/214, numerators are 202,850
Denominators are 299,214
The GCF of 202,850 is 2 .
LCM of 299,214 is 63986.
The greatest common factor of 202/299,850/214 = [GCF of 202,850]/[LCM of 299,214]= 2/63986
Therefore, the GCF of 202/299,850/214 is 2/63986.
To find the highest common factor of 202,850, we have to find the factors of both numbers and list the highest common factor.
The factors of 202 are 1, 2, 101, 202
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The HCF of 202,850 is 2.
Lets's calculate GCF of 202,850
2 | 202, 850 |
101, 425 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 202
:1,2,101,202
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 202,850 . The biggest common factor number is the GCF number.
So the greatest common factor 202,850 is 2.
Lets's calculate LCM of 299,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 63986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63986
Therefore, the GCF of Fractions 202/299,850/214 is 2/63986
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 299,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,214) x common factors =1 x 1 = 1
LCM(299,214) = ( 299 × 214 ) / 1
LCM(299,214) = 63986 / 1
LCM(299,214) = 63986
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 202,850?
The HCF of 202,850 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 202/299, 850/214?
Answer: GCF of Numerators as per given numbers 202/299, 850/214 is
GCF of Numerators i.e. for 202,850 is 2
LCM of denominators i.e. for 299,214 is 63986.
Thus, GCF of Fractions is 2/63986.Finally, GCF of Fractions for 202/299, 850/214 is 2/63986.