GCF of 9036/152, 4482/7028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9036/152, 4482/7028 i.e 18/267064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9036/152, 4482/7028.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9036/152,4482/7028?
Given fractions are 9036/152,4482/7028
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 9036/152,4482/7028, numerators are 9036,4482
Denominators are 152,7028
The GCF of 9036,4482 is 18 .
LCM of 152,7028 is 267064.
The greatest common factor of 9036/152,4482/7028 = [GCF of 9036,4482]/[LCM of 152,7028]= 18/267064
Therefore, the GCF of 9036/152,4482/7028 is 18/267064.
To find the highest common factor of 9036,4482, we have to find the factors of both numbers and list the highest common factor.
The factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036
The factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482
The HCF of 9036,4482 is 18.
Lets's calculate GCF of 9036,4482
| 2 | 9036, 4482 |
| 3 | 4518, 2241 |
| 3 | 1506, 747 |
| 502, 249 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9036,4482 By Matching Biggest Common Factor Method
Now, list down the factors of 9036
:1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036
Now, list down the factors of 4482
:1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482
Greatest Common Factor
We found the factors 9036,4482 . The biggest common factor number is the GCF number.
So the greatest common factor 9036,4482 is 18.
Lets's calculate LCM of 152,7028
| 2 | 152, 7028 |
| 2 | 76, 3514 |
| 38, 1757 |
∴ So the LCM of the given numbers is 2 x 2 x 38 x 1757 = 267064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/267064
Therefore, the GCF of Fractions 9036/152,4482/7028 is 18/267064
Least Common Multiple of 152,7028 with GCF Formula
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 152,7028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,7028) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(152,7028) x common factors =4 x 1 = 4
LCM(152,7028) = ( 152 × 7028 ) / 4
LCM(152,7028) = 1068256 / 4
LCM(152,7028) = 267064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9036/152, 4482/7028
1. What is the HCF of 9036,4482?
The HCF of 9036,4482 is 18
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 9036/152, 4482/7028?
Answer: GCF of Numerators as per given numbers 9036/152, 4482/7028 is
GCF of Numerators i.e. for 9036,4482 is 18
LCM of denominators i.e. for 152,7028 is 267064.
Thus, GCF of Fractions is 18/267064.Finally, GCF of Fractions for 9036/152, 4482/7028 is 18/267064.