Use our free GCF of Fractions Calculator tool to compute the GCF of 129/566, 950/684 i.e 1/193572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/566, 950/684.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/566,950/684
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 129/566,950/684, numerators are 129,950
Denominators are 566,684
The GCF of 129,950 is 1 .
LCM of 566,684 is 193572.
The greatest common factor of 129/566,950/684 = [GCF of 129,950]/[LCM of 566,684]= 1/193572
Therefore, the GCF of 129/566,950/684 is 1/193572.
To find the highest common factor of 129,950, we have to find the factors of both numbers and list the highest common factor.
The factors of 129 are 1, 3, 43, 129
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The HCF of 129,950 is 1.
Lets's calculate GCF of 129,950
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 129,950 . The biggest common factor number is the GCF number.
So the greatest common factor 129,950 is 1.
Lets's calculate LCM of 566,684
2 | 566, 684 |
283, 342 |
∴ So the LCM of the given numbers is 2 x 283 x 342 = 193572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193572
Therefore, the GCF of Fractions 129/566,950/684 is 1/193572
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 566,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,684) x common factors =2 x 1 = 2
LCM(566,684) = ( 566 × 684 ) / 2
LCM(566,684) = 387144 / 2
LCM(566,684) = 193572
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 129,950?
The HCF of 129,950 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 129/566, 950/684?
Answer: GCF of Numerators as per given numbers 129/566, 950/684 is
GCF of Numerators i.e. for 129,950 is 1
LCM of denominators i.e. for 566,684 is 193572.
Thus, GCF of Fractions is 1/193572.Finally, GCF of Fractions for 129/566, 950/684 is 1/193572.