Use our free GCF of Fractions Calculator tool to compute the GCF of 354/795, 878/105 i.e 2/5565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 354/795, 878/105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/795,878/105
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 354/795,878/105, numerators are 354,878
Denominators are 795,105
The GCF of 354,878 is 2 .
LCM of 795,105 is 5565.
The greatest common factor of 354/795,878/105 = [GCF of 354,878]/[LCM of 795,105]= 2/5565
Therefore, the GCF of 354/795,878/105 is 2/5565.
To find the highest common factor of 354,878, we have to find the factors of both numbers and list the highest common factor.
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The factors of 878 are 1, 2, 439, 878
The HCF of 354,878 is 2.
Lets's calculate GCF of 354,878
2 | 354, 878 |
177, 439 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Now, list down the factors of 878
:1,2,439,878
Greatest Common Factor
We found the factors 354,878 . The biggest common factor number is the GCF number.
So the greatest common factor 354,878 is 2.
Lets's calculate LCM of 795,105
3 | 795, 105 |
5 | 265, 35 |
53, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 53 x 7 = 5565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5565
Therefore, the GCF of Fractions 354/795,878/105 is 2/5565
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 795,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,105) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(795,105) x common factors =15 x 1 = 15
LCM(795,105) = ( 795 × 105 ) / 15
LCM(795,105) = 83475 / 15
LCM(795,105) = 5565
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 354,878?
The HCF of 354,878 is 2
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 354/795, 878/105?
Answer: GCF of Numerators as per given numbers 354/795, 878/105 is
GCF of Numerators i.e. for 354,878 is 2
LCM of denominators i.e. for 795,105 is 5565.
Thus, GCF of Fractions is 2/5565.Finally, GCF of Fractions for 354/795, 878/105 is 2/5565.