Use our free GCF of Fractions Calculator tool to compute the GCF of 283/346, 749/199 i.e 1/68854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/346, 749/199.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 283/346,749/199
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 283/346,749/199, numerators are 283,749
Denominators are 346,199
The GCF of 283,749 is 1 .
LCM of 346,199 is 68854.
The greatest common factor of 283/346,749/199 = [GCF of 283,749]/[LCM of 346,199]= 1/68854
Therefore, the GCF of 283/346,749/199 is 1/68854.
To find the highest common factor of 283,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 749 are 1, 7, 107, 749
The HCF of 283,749 is 1.
Lets's calculate GCF of 283,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 283
:1,283
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 283,749 . The biggest common factor number is the GCF number.
So the greatest common factor 283,749 is 1.
Lets's calculate LCM of 346,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 68854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68854
Therefore, the GCF of Fractions 283/346,749/199 is 1/68854
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 346,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,199) x common factors =1 x 1 = 1
LCM(346,199) = ( 346 × 199 ) / 1
LCM(346,199) = 68854 / 1
LCM(346,199) = 68854
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 283,749?
The HCF of 283,749 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 283/346, 749/199?
Answer: GCF of Numerators as per given numbers 283/346, 749/199 is
GCF of Numerators i.e. for 283,749 is 1
LCM of denominators i.e. for 346,199 is 68854.
Thus, GCF of Fractions is 1/68854.Finally, GCF of Fractions for 283/346, 749/199 is 1/68854.