Use our free GCF of Fractions Calculator tool to compute the GCF of 4225/298, 1713/9750 i.e 1/1452750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4225/298, 1713/9750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4225/298,1713/9750
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 4225/298,1713/9750, numerators are 4225,1713
Denominators are 298,9750
The GCF of 4225,1713 is 1 .
LCM of 298,9750 is 1452750.
The greatest common factor of 4225/298,1713/9750 = [GCF of 4225,1713]/[LCM of 298,9750]= 1/1452750
Therefore, the GCF of 4225/298,1713/9750 is 1/1452750.
To find the highest common factor of 4225,1713, we have to find the factors of both numbers and list the highest common factor.
The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225
The factors of 1713 are 1, 3, 571, 1713
The HCF of 4225,1713 is 1.
Lets's calculate GCF of 4225,1713
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4225
:1,5,13,25,65,169,325,845,4225
Now, list down the factors of 1713
:1,3,571,1713
Greatest Common Factor
We found the factors 4225,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 4225,1713 is 1.
Lets's calculate LCM of 298,9750
2 | 298, 9750 |
149, 4875 |
∴ So the LCM of the given numbers is 2 x 149 x 4875 = 1452750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1452750
Therefore, the GCF of Fractions 4225/298,1713/9750 is 1/1452750
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 298,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,9750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,9750) x common factors =2 x 1 = 2
LCM(298,9750) = ( 298 × 9750 ) / 2
LCM(298,9750) = 2905500 / 2
LCM(298,9750) = 1452750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4225,1713?
The HCF of 4225,1713 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 4225/298, 1713/9750?
Answer: GCF of Numerators as per given numbers 4225/298, 1713/9750 is
GCF of Numerators i.e. for 4225,1713 is 1
LCM of denominators i.e. for 298,9750 is 1452750.
Thus, GCF of Fractions is 1/1452750.Finally, GCF of Fractions for 4225/298, 1713/9750 is 1/1452750.