Use our free GCF of Fractions Calculator tool to compute the GCF of 107/418, 176/828 i.e 1/173052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/418, 176/828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 107/418,176/828
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 107/418,176/828, numerators are 107,176
Denominators are 418,828
The GCF of 107,176 is 1 .
LCM of 418,828 is 173052.
The greatest common factor of 107/418,176/828 = [GCF of 107,176]/[LCM of 418,828]= 1/173052
Therefore, the GCF of 107/418,176/828 is 1/173052.
To find the highest common factor of 107,176, 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 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The HCF of 107,176 is 1.
Lets's calculate GCF of 107,176
∴ 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 176
:1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 107,176 . The biggest common factor number is the GCF number.
So the greatest common factor 107,176 is 1.
Lets's calculate LCM of 418,828
2 | 418, 828 |
209, 414 |
∴ So the LCM of the given numbers is 2 x 209 x 414 = 173052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173052
Therefore, the GCF of Fractions 107/418,176/828 is 1/173052
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 418,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,828) x common factors =2 x 1 = 2
LCM(418,828) = ( 418 × 828 ) / 2
LCM(418,828) = 346104 / 2
LCM(418,828) = 173052
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 107,176?
The HCF of 107,176 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 107/418, 176/828?
Answer: GCF of Numerators as per given numbers 107/418, 176/828 is
GCF of Numerators i.e. for 107,176 is 1
LCM of denominators i.e. for 418,828 is 173052.
Thus, GCF of Fractions is 1/173052.Finally, GCF of Fractions for 107/418, 176/828 is 1/173052.