Use our free GCF of Fractions Calculator tool to compute the GCF of 355/287, 199/419 i.e 1/120253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/287, 199/419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/287,199/419
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 355/287,199/419, numerators are 355,199
Denominators are 287,419
The GCF of 355,199 is 1 .
LCM of 287,419 is 120253.
The greatest common factor of 355/287,199/419 = [GCF of 355,199]/[LCM of 287,419]= 1/120253
Therefore, the GCF of 355/287,199/419 is 1/120253.
To find the highest common factor of 355,199, we have to find the factors of both numbers and list the highest common factor.
The factors of 355 are 1, 5, 71, 355
The factors of 199 are 1, 199
The HCF of 355,199 is 1.
Lets's calculate GCF of 355,199
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 199
:1,199
Greatest Common Factor
We found the factors 355,199 . The biggest common factor number is the GCF number.
So the greatest common factor 355,199 is 1.
Lets's calculate LCM of 287,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 120253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120253
Therefore, the GCF of Fractions 355/287,199/419 is 1/120253
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 287,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,419) x common factors =1 x 1 = 1
LCM(287,419) = ( 287 × 419 ) / 1
LCM(287,419) = 120253 / 1
LCM(287,419) = 120253
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 355,199?
The HCF of 355,199 is 1
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 355/287, 199/419?
Answer: GCF of Numerators as per given numbers 355/287, 199/419 is
GCF of Numerators i.e. for 355,199 is 1
LCM of denominators i.e. for 287,419 is 120253.
Thus, GCF of Fractions is 1/120253.Finally, GCF of Fractions for 355/287, 199/419 is 1/120253.