Use our free GCF of Fractions Calculator tool to compute the GCF of 9375/668, 7308/5100 i.e 3/851700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9375/668, 7308/5100.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9375/668,7308/5100
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 9375/668,7308/5100, numerators are 9375,7308
Denominators are 668,5100
The GCF of 9375,7308 is 3 .
LCM of 668,5100 is 851700.
The greatest common factor of 9375/668,7308/5100 = [GCF of 9375,7308]/[LCM of 668,5100]= 3/851700
Therefore, the GCF of 9375/668,7308/5100 is 3/851700.
To find the highest common factor of 9375,7308, we have to find the factors of both numbers and list the highest common factor.
The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The HCF of 9375,7308 is 3.
Lets's calculate GCF of 9375,7308
3 | 9375, 7308 |
3125, 2436 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 9375
:1,3,5,15,25,75,125,375,625,1875,3125,9375
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Greatest Common Factor
We found the factors 9375,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 9375,7308 is 3.
Lets's calculate LCM of 668,5100
2 | 668, 5100 |
2 | 334, 2550 |
167, 1275 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 1275 = 851700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/851700
Therefore, the GCF of Fractions 9375/668,7308/5100 is 3/851700
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 668,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,5100) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,5100) x common factors =4 x 1 = 4
LCM(668,5100) = ( 668 × 5100 ) / 4
LCM(668,5100) = 3406800 / 4
LCM(668,5100) = 851700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9375,7308?
The HCF of 9375,7308 is 3
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 9375/668, 7308/5100?
Answer: GCF of Numerators as per given numbers 9375/668, 7308/5100 is
GCF of Numerators i.e. for 9375,7308 is 3
LCM of denominators i.e. for 668,5100 is 851700.
Thus, GCF of Fractions is 3/851700.Finally, GCF of Fractions for 9375/668, 7308/5100 is 3/851700.