Use our free GCF of Fractions Calculator tool to compute the GCF of 98/814, 649/125, 104/887 i.e 1/90252250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/814, 649/125, 104/887.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/814,649/125,104/887
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 98/814,649/125,104/887, numerators are 98,649,104
Denominators are 814,125,887
The GCF of 98,649,104 is 1 .
LCM of 814,125,887 is 90252250.
The greatest common factor of 98/814,649/125,104/887 = [GCF of 98,649,104]/[LCM of 814,125,887]= 1/90252250
Therefore, the GCF of 98/814,649/125,104/887 is 1/90252250.
To find the highest common factor of 98,649,104, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 649 are 1, 11, 59, 649
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The HCF of 98,649,104 is 1.
Lets's calculate GCF of 98,649,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 98,649,104 . The biggest common factor number is the GCF number.
So the greatest common factor 98,649,104 is 1.
Lets's calculate LCM of 814,125,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 90252250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90252250
Therefore, the GCF of Fractions 98/814,649/125,104/887 is 1/90252250
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 814,125,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,125,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,125,887) x common factors =1 x 1 = 1
LCM(814,125,887) = ( 814 × 125 × 887 ) / 1
LCM(814,125,887) = 90252250 / 1
LCM(814,125,887) = 90252250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,649,104?
The HCF of 98,649,104 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 98/814, 649/125, 104/887?
Answer: GCF of Numerators as per given numbers 98/814, 649/125, 104/887 is
GCF of Numerators i.e. for 98,649,104 is 1
LCM of denominators i.e. for 814,125,887 is 90252250.
Thus, GCF of Fractions is 1/90252250.Finally, GCF of Fractions for 98/814, 649/125, 104/887 is 1/90252250.