GCF of 9764/284, 3194/4416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9764/284, 3194/4416 i.e 2/313536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9764/284, 3194/4416.
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 9764/284,3194/4416?
Given fractions are 9764/284,3194/4416
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 9764/284,3194/4416, numerators are 9764,3194
Denominators are 284,4416
The GCF of 9764,3194 is 2 .
LCM of 284,4416 is 313536.
The greatest common factor of 9764/284,3194/4416 = [GCF of 9764,3194]/[LCM of 284,4416]= 2/313536
Therefore, the GCF of 9764/284,3194/4416 is 2/313536.
To find the highest common factor of 9764,3194, we have to find the factors of both numbers and list the highest common factor.
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The factors of 3194 are 1, 2, 1597, 3194
The HCF of 9764,3194 is 2.
Lets's calculate GCF of 9764,3194
| 2 | 9764, 3194 |
| 4882, 1597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9764,3194 By Matching Biggest Common Factor Method
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Now, list down the factors of 3194
:1,2,1597,3194
Greatest Common Factor
We found the factors 9764,3194 . The biggest common factor number is the GCF number.
So the greatest common factor 9764,3194 is 2.
Lets's calculate LCM of 284,4416
| 2 | 284, 4416 |
| 2 | 142, 2208 |
| 71, 1104 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 1104 = 313536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313536
Therefore, the GCF of Fractions 9764/284,3194/4416 is 2/313536
Least Common Multiple of 284,4416 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 284,4416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,4416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,4416) x common factors =4 x 1 = 4
LCM(284,4416) = ( 284 × 4416 ) / 4
LCM(284,4416) = 1254144 / 4
LCM(284,4416) = 313536
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FAQs on GCF of Fractions of 9764/284, 3194/4416
1. What is the HCF of 9764,3194?
The HCF of 9764,3194 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 9764/284, 3194/4416?
Answer: GCF of Numerators as per given numbers 9764/284, 3194/4416 is
GCF of Numerators i.e. for 9764,3194 is 2
LCM of denominators i.e. for 284,4416 is 313536.
Thus, GCF of Fractions is 2/313536.Finally, GCF of Fractions for 9764/284, 3194/4416 is 2/313536.