GCF of 9232/498, 3708/7113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9232/498, 3708/7113 i.e 4/1180758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9232/498, 3708/7113.
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 9232/498,3708/7113?
Given fractions are 9232/498,3708/7113
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 9232/498,3708/7113, numerators are 9232,3708
Denominators are 498,7113
The GCF of 9232,3708 is 4 .
LCM of 498,7113 is 1180758.
The greatest common factor of 9232/498,3708/7113 = [GCF of 9232,3708]/[LCM of 498,7113]= 4/1180758
Therefore, the GCF of 9232/498,3708/7113 is 4/1180758.
To find the highest common factor of 9232,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 9232,3708 is 4.
Lets's calculate GCF of 9232,3708
| 2 | 9232, 3708 |
| 2 | 4616, 1854 |
| 2308, 927 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9232,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 9232
:1,2,4,8,16,577,1154,2308,4616,9232
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 9232,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 9232,3708 is 4.
Lets's calculate LCM of 498,7113
| 3 | 498, 7113 |
| 166, 2371 |
∴ So the LCM of the given numbers is 3 x 166 x 2371 = 1180758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1180758
Therefore, the GCF of Fractions 9232/498,3708/7113 is 4/1180758
Least Common Multiple of 498,7113 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 498,7113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,7113) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,7113) x common factors =3 x 1 = 3
LCM(498,7113) = ( 498 × 7113 ) / 3
LCM(498,7113) = 3542274 / 3
LCM(498,7113) = 1180758
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FAQs on GCF of Fractions of 9232/498, 3708/7113
1. What is the HCF of 9232,3708?
The HCF of 9232,3708 is 4
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 9232/498, 3708/7113?
Answer: GCF of Numerators as per given numbers 9232/498, 3708/7113 is
GCF of Numerators i.e. for 9232,3708 is 4
LCM of denominators i.e. for 498,7113 is 1180758.
Thus, GCF of Fractions is 4/1180758.Finally, GCF of Fractions for 9232/498, 3708/7113 is 4/1180758.