Use our free GCF of Fractions Calculator tool to compute the GCF of 257/343, 332/914 i.e 1/313502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/343, 332/914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/343,332/914
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 257/343,332/914, numerators are 257,332
Denominators are 343,914
The GCF of 257,332 is 1 .
LCM of 343,914 is 313502.
The greatest common factor of 257/343,332/914 = [GCF of 257,332]/[LCM of 343,914]= 1/313502
Therefore, the GCF of 257/343,332/914 is 1/313502.
To find the highest common factor of 257,332, we have to find the factors of both numbers and list the highest common factor.
The factors of 257 are 1, 257
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 257,332 is 1.
Lets's calculate GCF of 257,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 257
:1,257
Now, list down the factors of 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 257,332 . The biggest common factor number is the GCF number.
So the greatest common factor 257,332 is 1.
Lets's calculate LCM of 343,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 313502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313502
Therefore, the GCF of Fractions 257/343,332/914 is 1/313502
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 343,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,914) x common factors =1 x 1 = 1
LCM(343,914) = ( 343 × 914 ) / 1
LCM(343,914) = 313502 / 1
LCM(343,914) = 313502
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 257,332?
The HCF of 257,332 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 257/343, 332/914?
Answer: GCF of Numerators as per given numbers 257/343, 332/914 is
GCF of Numerators i.e. for 257,332 is 1
LCM of denominators i.e. for 343,914 is 313502.
Thus, GCF of Fractions is 1/313502.Finally, GCF of Fractions for 257/343, 332/914 is 1/313502.