Use our free GCF of Fractions Calculator tool to compute the GCF of 107/715, 210/643 i.e 1/459745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/715, 210/643.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 107/715,210/643
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 107/715,210/643, numerators are 107,210
Denominators are 715,643
The GCF of 107,210 is 1 .
LCM of 715,643 is 459745.
The greatest common factor of 107/715,210/643 = [GCF of 107,210]/[LCM of 715,643]= 1/459745
Therefore, the GCF of 107/715,210/643 is 1/459745.
To find the highest common factor of 107,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 107 are 1, 107
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 107,210 is 1.
Lets's calculate GCF of 107,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 107
:1,107
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 107,210 . The biggest common factor number is the GCF number.
So the greatest common factor 107,210 is 1.
Lets's calculate LCM of 715,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 459745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459745
Therefore, the GCF of Fractions 107/715,210/643 is 1/459745
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 715,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,643) x common factors =1 x 1 = 1
LCM(715,643) = ( 715 × 643 ) / 1
LCM(715,643) = 459745 / 1
LCM(715,643) = 459745
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 107,210?
The HCF of 107,210 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 107/715, 210/643?
Answer: GCF of Numerators as per given numbers 107/715, 210/643 is
GCF of Numerators i.e. for 107,210 is 1
LCM of denominators i.e. for 715,643 is 459745.
Thus, GCF of Fractions is 1/459745.Finally, GCF of Fractions for 107/715, 210/643 is 1/459745.