Use our free GCF of Fractions Calculator tool to compute the GCF of 9290/164, 7750/4275 i.e 10/701100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9290/164, 7750/4275.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9290/164,7750/4275
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 9290/164,7750/4275, numerators are 9290,7750
Denominators are 164,4275
The GCF of 9290,7750 is 10 .
LCM of 164,4275 is 701100.
The greatest common factor of 9290/164,7750/4275 = [GCF of 9290,7750]/[LCM of 164,4275]= 10/701100
Therefore, the GCF of 9290/164,7750/4275 is 10/701100.
To find the highest common factor of 9290,7750, we have to find the factors of both numbers and list the highest common factor.
The factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290
The factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750
The HCF of 9290,7750 is 10.
Lets's calculate GCF of 9290,7750
2 | 9290, 7750 |
5 | 4645, 3875 |
929, 775 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 9290
:1,2,5,10,929,1858,4645,9290
Now, list down the factors of 7750
:1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750
Greatest Common Factor
We found the factors 9290,7750 . The biggest common factor number is the GCF number.
So the greatest common factor 9290,7750 is 10.
Lets's calculate LCM of 164,4275
Given numbers has no common factors except 1. So, there LCM is their product i.e 701100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/701100
Therefore, the GCF of Fractions 9290/164,7750/4275 is 10/701100
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 164,4275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,4275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,4275) x common factors =1 x 1 = 1
LCM(164,4275) = ( 164 × 4275 ) / 1
LCM(164,4275) = 701100 / 1
LCM(164,4275) = 701100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9290,7750?
The HCF of 9290,7750 is 10
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 9290/164, 7750/4275?
Answer: GCF of Numerators as per given numbers 9290/164, 7750/4275 is
GCF of Numerators i.e. for 9290,7750 is 10
LCM of denominators i.e. for 164,4275 is 701100.
Thus, GCF of Fractions is 10/701100.Finally, GCF of Fractions for 9290/164, 7750/4275 is 10/701100.