Use our free GCF of Fractions Calculator tool to compute the GCF of 314/785, 175/346 i.e 1/271610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 314/785, 175/346.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 314/785,175/346
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 314/785,175/346, numerators are 314,175
Denominators are 785,346
The GCF of 314,175 is 1 .
LCM of 785,346 is 271610.
The greatest common factor of 314/785,175/346 = [GCF of 314,175]/[LCM of 785,346]= 1/271610
Therefore, the GCF of 314/785,175/346 is 1/271610.
To find the highest common factor of 314,175, we have to find the factors of both numbers and list the highest common factor.
The factors of 314 are 1, 2, 157, 314
The factors of 175 are 1, 5, 7, 25, 35, 175
The HCF of 314,175 is 1.
Lets's calculate GCF of 314,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 314
:1,2,157,314
Now, list down the factors of 175
:1,5,7,25,35,175
Greatest Common Factor
We found the factors 314,175 . The biggest common factor number is the GCF number.
So the greatest common factor 314,175 is 1.
Lets's calculate LCM of 785,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 271610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271610
Therefore, the GCF of Fractions 314/785,175/346 is 1/271610
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 785,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,346) x common factors =1 x 1 = 1
LCM(785,346) = ( 785 × 346 ) / 1
LCM(785,346) = 271610 / 1
LCM(785,346) = 271610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 314,175?
The HCF of 314,175 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 314/785, 175/346?
Answer: GCF of Numerators as per given numbers 314/785, 175/346 is
GCF of Numerators i.e. for 314,175 is 1
LCM of denominators i.e. for 785,346 is 271610.
Thus, GCF of Fractions is 1/271610.Finally, GCF of Fractions for 314/785, 175/346 is 1/271610.