GCF of 7218/172, 9752/3072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7218/172, 9752/3072 i.e 2/132096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7218/172, 9752/3072.
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 7218/172,9752/3072?
Given fractions are 7218/172,9752/3072
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 7218/172,9752/3072, numerators are 7218,9752
Denominators are 172,3072
The GCF of 7218,9752 is 2 .
LCM of 172,3072 is 132096.
The greatest common factor of 7218/172,9752/3072 = [GCF of 7218,9752]/[LCM of 172,3072]= 2/132096
Therefore, the GCF of 7218/172,9752/3072 is 2/132096.
To find the highest common factor of 7218,9752, we have to find the factors of both numbers and list the highest common factor.
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752
The HCF of 7218,9752 is 2.
Lets's calculate GCF of 7218,9752
| 2 | 7218, 9752 |
| 3609, 4876 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7218,9752 By Matching Biggest Common Factor Method
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Now, list down the factors of 9752
:1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Greatest Common Factor
We found the factors 7218,9752 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,9752 is 2.
Lets's calculate LCM of 172,3072
| 2 | 172, 3072 |
| 2 | 86, 1536 |
| 43, 768 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 768 = 132096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132096
Therefore, the GCF of Fractions 7218/172,9752/3072 is 2/132096
Least Common Multiple of 172,3072 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 172,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,3072) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,3072) x common factors =4 x 1 = 4
LCM(172,3072) = ( 172 × 3072 ) / 4
LCM(172,3072) = 528384 / 4
LCM(172,3072) = 132096
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FAQs on GCF of Fractions of 7218/172, 9752/3072
1. What is the HCF of 7218,9752?
The HCF of 7218,9752 is 2
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 7218/172, 9752/3072?
Answer: GCF of Numerators as per given numbers 7218/172, 9752/3072 is
GCF of Numerators i.e. for 7218,9752 is 2
LCM of denominators i.e. for 172,3072 is 132096.
Thus, GCF of Fractions is 2/132096.Finally, GCF of Fractions for 7218/172, 9752/3072 is 2/132096.