GCF of 9528/159, 7218/2112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9528/159, 7218/2112 i.e 6/111936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9528/159, 7218/2112.
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 9528/159,7218/2112?
Given fractions are 9528/159,7218/2112
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 9528/159,7218/2112, numerators are 9528,7218
Denominators are 159,2112
The GCF of 9528,7218 is 6 .
LCM of 159,2112 is 111936.
The greatest common factor of 9528/159,7218/2112 = [GCF of 9528,7218]/[LCM of 159,2112]= 6/111936
Therefore, the GCF of 9528/159,7218/2112 is 6/111936.
To find the highest common factor of 9528,7218, we have to find the factors of both numbers and list the highest common factor.
The factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The HCF of 9528,7218 is 6.
Lets's calculate GCF of 9528,7218
| 2 | 9528, 7218 |
| 3 | 4764, 3609 |
| 1588, 1203 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9528,7218 By Matching Biggest Common Factor Method
Now, list down the factors of 9528
:1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Greatest Common Factor
We found the factors 9528,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 9528,7218 is 6.
Lets's calculate LCM of 159,2112
| 3 | 159, 2112 |
| 53, 704 |
∴ So the LCM of the given numbers is 3 x 53 x 704 = 111936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/111936
Therefore, the GCF of Fractions 9528/159,7218/2112 is 6/111936
Least Common Multiple of 159,2112 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 159,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,2112) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,2112) x common factors =3 x 1 = 3
LCM(159,2112) = ( 159 × 2112 ) / 3
LCM(159,2112) = 335808 / 3
LCM(159,2112) = 111936
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FAQs on GCF of Fractions of 9528/159, 7218/2112
1. What is the HCF of 9528,7218?
The HCF of 9528,7218 is 6
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 9528/159, 7218/2112?
Answer: GCF of Numerators as per given numbers 9528/159, 7218/2112 is
GCF of Numerators i.e. for 9528,7218 is 6
LCM of denominators i.e. for 159,2112 is 111936.
Thus, GCF of Fractions is 6/111936.Finally, GCF of Fractions for 9528/159, 7218/2112 is 6/111936.