GCF of 2396/466, 9642/9308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2396/466, 9642/9308 i.e 2/2168764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2396/466, 9642/9308.
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 2396/466,9642/9308?
Given fractions are 2396/466,9642/9308
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 2396/466,9642/9308, numerators are 2396,9642
Denominators are 466,9308
The GCF of 2396,9642 is 2 .
LCM of 466,9308 is 2168764.
The greatest common factor of 2396/466,9642/9308 = [GCF of 2396,9642]/[LCM of 466,9308]= 2/2168764
Therefore, the GCF of 2396/466,9642/9308 is 2/2168764.
To find the highest common factor of 2396,9642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2396 are 1, 2, 4, 599, 1198, 2396
The factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642
The HCF of 2396,9642 is 2.
Lets's calculate GCF of 2396,9642
| 2 | 2396, 9642 |
| 1198, 4821 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2396,9642 By Matching Biggest Common Factor Method
Now, list down the factors of 2396
:1,2,4,599,1198,2396
Now, list down the factors of 9642
:1,2,3,6,1607,3214,4821,9642
Greatest Common Factor
We found the factors 2396,9642 . The biggest common factor number is the GCF number.
So the greatest common factor 2396,9642 is 2.
Lets's calculate LCM of 466,9308
| 2 | 466, 9308 |
| 233, 4654 |
∴ So the LCM of the given numbers is 2 x 233 x 4654 = 2168764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2168764
Therefore, the GCF of Fractions 2396/466,9642/9308 is 2/2168764
Least Common Multiple of 466,9308 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 466,9308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,9308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,9308) x common factors =2 x 1 = 2
LCM(466,9308) = ( 466 × 9308 ) / 2
LCM(466,9308) = 4337528 / 2
LCM(466,9308) = 2168764
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FAQs on GCF of Fractions of 2396/466, 9642/9308
1. What is the HCF of 2396,9642?
The HCF of 2396,9642 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 2396/466, 9642/9308?
Answer: GCF of Numerators as per given numbers 2396/466, 9642/9308 is
GCF of Numerators i.e. for 2396,9642 is 2
LCM of denominators i.e. for 466,9308 is 2168764.
Thus, GCF of Fractions is 2/2168764.Finally, GCF of Fractions for 2396/466, 9642/9308 is 2/2168764.