Use our free GCF of Fractions Calculator tool to compute the GCF of 29/650, 98/192, 818/686 i.e 1/21403200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/650, 98/192, 818/686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/650,98/192,818/686
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 29/650,98/192,818/686, numerators are 29,98,818
Denominators are 650,192,686
The GCF of 29,98,818 is 1 .
LCM of 650,192,686 is 21403200.
The greatest common factor of 29/650,98/192,818/686 = [GCF of 29,98,818]/[LCM of 650,192,686]= 1/21403200
Therefore, the GCF of 29/650,98/192,818/686 is 1/21403200.
To find the highest common factor of 29,98,818, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 818 are 1, 2, 409, 818
The HCF of 29,98,818 is 1.
Lets's calculate GCF of 29,98,818
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 818
:1,2,409,818
Greatest Common Factor
We found the factors 29,98,818 . The biggest common factor number is the GCF number.
So the greatest common factor 29,98,818 is 1.
Lets's calculate LCM of 650,192,686
2 | 650, 192, 686 |
325, 96, 343 |
∴ So the LCM of the given numbers is 2 x 325 x 96 x 343 = 21403200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21403200
Therefore, the GCF of Fractions 29/650,98/192,818/686 is 1/21403200
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 650,192,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,192,686) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(650,192,686) x common factors =2 x 2 = 4
LCM(650,192,686) = ( 650 × 192 × 686 ) / 4
LCM(650,192,686) = 85612800 / 4
LCM(650,192,686) = 21403200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,98,818?
The HCF of 29,98,818 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 29/650, 98/192, 818/686?
Answer: GCF of Numerators as per given numbers 29/650, 98/192, 818/686 is
GCF of Numerators i.e. for 29,98,818 is 1
LCM of denominators i.e. for 650,192,686 is 21403200.
Thus, GCF of Fractions is 1/21403200.Finally, GCF of Fractions for 29/650, 98/192, 818/686 is 1/21403200.