GCF of 9232/716, 6464/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9232/716, 6464/582 i.e 16/208356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9232/716, 6464/582.
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 9232/716,6464/582?
Given fractions are 9232/716,6464/582
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 9232/716,6464/582, numerators are 9232,6464
Denominators are 716,582
The GCF of 9232,6464 is 16 .
LCM of 716,582 is 208356.
The greatest common factor of 9232/716,6464/582 = [GCF of 9232,6464]/[LCM of 716,582]= 16/208356
Therefore, the GCF of 9232/716,6464/582 is 16/208356.
To find the highest common factor of 9232,6464, 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 6464 are 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464
The HCF of 9232,6464 is 16.
Lets's calculate GCF of 9232,6464
| 2 | 9232, 6464 |
| 2 | 4616, 3232 |
| 2 | 2308, 1616 |
| 2 | 1154, 808 |
| 577, 404 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9232,6464 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 6464
:1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464
Greatest Common Factor
We found the factors 9232,6464 . The biggest common factor number is the GCF number.
So the greatest common factor 9232,6464 is 16.
Lets's calculate LCM of 716,582
| 2 | 716, 582 |
| 358, 291 |
∴ So the LCM of the given numbers is 2 x 358 x 291 = 208356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/208356
Therefore, the GCF of Fractions 9232/716,6464/582 is 16/208356
Least Common Multiple of 716,582 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 716,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,582) x common factors =2 x 1 = 2
LCM(716,582) = ( 716 × 582 ) / 2
LCM(716,582) = 416712 / 2
LCM(716,582) = 208356
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FAQs on GCF of Fractions of 9232/716, 6464/582
1. What is the HCF of 9232,6464?
The HCF of 9232,6464 is 16
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 9232/716, 6464/582?
Answer: GCF of Numerators as per given numbers 9232/716, 6464/582 is
GCF of Numerators i.e. for 9232,6464 is 16
LCM of denominators i.e. for 716,582 is 208356.
Thus, GCF of Fractions is 16/208356.Finally, GCF of Fractions for 9232/716, 6464/582 is 16/208356.