Use our free GCF of Fractions Calculator tool to compute the GCF of 341/366, 238/699 i.e 1/85278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/366, 238/699.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/366,238/699
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 341/366,238/699, numerators are 341,238
Denominators are 366,699
The GCF of 341,238 is 1 .
LCM of 366,699 is 85278.
The greatest common factor of 341/366,238/699 = [GCF of 341,238]/[LCM of 366,699]= 1/85278
Therefore, the GCF of 341/366,238/699 is 1/85278.
To find the highest common factor of 341,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 341,238 is 1.
Lets's calculate GCF of 341,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 341,238 . The biggest common factor number is the GCF number.
So the greatest common factor 341,238 is 1.
Lets's calculate LCM of 366,699
3 | 366, 699 |
122, 233 |
∴ So the LCM of the given numbers is 3 x 122 x 233 = 85278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85278
Therefore, the GCF of Fractions 341/366,238/699 is 1/85278
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 366,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(366,699) x common factors =3 x 1 = 3
LCM(366,699) = ( 366 × 699 ) / 3
LCM(366,699) = 255834 / 3
LCM(366,699) = 85278
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 341,238?
The HCF of 341,238 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 341/366, 238/699?
Answer: GCF of Numerators as per given numbers 341/366, 238/699 is
GCF of Numerators i.e. for 341,238 is 1
LCM of denominators i.e. for 366,699 is 85278.
Thus, GCF of Fractions is 1/85278.Finally, GCF of Fractions for 341/366, 238/699 is 1/85278.