GCF of 9676/384, 7468/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9676/384, 7468/592 i.e 4/14208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9676/384, 7468/592.
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 9676/384,7468/592?
Given fractions are 9676/384,7468/592
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 9676/384,7468/592, numerators are 9676,7468
Denominators are 384,592
The GCF of 9676,7468 is 4 .
LCM of 384,592 is 14208.
The greatest common factor of 9676/384,7468/592 = [GCF of 9676,7468]/[LCM of 384,592]= 4/14208
Therefore, the GCF of 9676/384,7468/592 is 4/14208.
To find the highest common factor of 9676,7468, we have to find the factors of both numbers and list the highest common factor.
The factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676
The factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The HCF of 9676,7468 is 4.
Lets's calculate GCF of 9676,7468
| 2 | 9676, 7468 |
| 2 | 4838, 3734 |
| 2419, 1867 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9676,7468 By Matching Biggest Common Factor Method
Now, list down the factors of 9676
:1,2,4,41,59,82,118,164,236,2419,4838,9676
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Greatest Common Factor
We found the factors 9676,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 9676,7468 is 4.
Lets's calculate LCM of 384,592
| 2 | 384, 592 |
| 2 | 192, 296 |
| 2 | 96, 148 |
| 2 | 48, 74 |
| 24, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 24 x 37 = 14208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14208
Therefore, the GCF of Fractions 9676/384,7468/592 is 4/14208
Least Common Multiple of 384,592 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 384,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,592) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(384,592) x common factors =16 x 1 = 16
LCM(384,592) = ( 384 × 592 ) / 16
LCM(384,592) = 227328 / 16
LCM(384,592) = 14208
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FAQs on GCF of Fractions of 9676/384, 7468/592
1. What is the HCF of 9676,7468?
The HCF of 9676,7468 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 9676/384, 7468/592?
Answer: GCF of Numerators as per given numbers 9676/384, 7468/592 is
GCF of Numerators i.e. for 9676,7468 is 4
LCM of denominators i.e. for 384,592 is 14208.
Thus, GCF of Fractions is 4/14208.Finally, GCF of Fractions for 9676/384, 7468/592 is 4/14208.