Use our free GCF of Fractions Calculator tool to compute the GCF of 4230/905, 9075/3588 i.e 15/3247140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4230/905, 9075/3588.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4230/905,9075/3588
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 4230/905,9075/3588, numerators are 4230,9075
Denominators are 905,3588
The GCF of 4230,9075 is 15 .
LCM of 905,3588 is 3247140.
The greatest common factor of 4230/905,9075/3588 = [GCF of 4230,9075]/[LCM of 905,3588]= 15/3247140
Therefore, the GCF of 4230/905,9075/3588 is 15/3247140.
To find the highest common factor of 4230,9075, we have to find the factors of both numbers and list the highest common factor.
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The HCF of 4230,9075 is 15.
Lets's calculate GCF of 4230,9075
3 | 4230, 9075 |
5 | 1410, 3025 |
282, 605 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 4230,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 4230,9075 is 15.
Lets's calculate LCM of 905,3588
Given numbers has no common factors except 1. So, there LCM is their product i.e 3247140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3247140
Therefore, the GCF of Fractions 4230/905,9075/3588 is 15/3247140
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 905,3588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,3588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,3588) x common factors =1 x 1 = 1
LCM(905,3588) = ( 905 × 3588 ) / 1
LCM(905,3588) = 3247140 / 1
LCM(905,3588) = 3247140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4230,9075?
The HCF of 4230,9075 is 15
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 4230/905, 9075/3588?
Answer: GCF of Numerators as per given numbers 4230/905, 9075/3588 is
GCF of Numerators i.e. for 4230,9075 is 15
LCM of denominators i.e. for 905,3588 is 3247140.
Thus, GCF of Fractions is 15/3247140.Finally, GCF of Fractions for 4230/905, 9075/3588 is 15/3247140.