GCF of 2316/448, 5784/9165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2316/448, 5784/9165 i.e 12/4105920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2316/448, 5784/9165.
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 2316/448,5784/9165?
Given fractions are 2316/448,5784/9165
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 2316/448,5784/9165, numerators are 2316,5784
Denominators are 448,9165
The GCF of 2316,5784 is 12 .
LCM of 448,9165 is 4105920.
The greatest common factor of 2316/448,5784/9165 = [GCF of 2316,5784]/[LCM of 448,9165]= 12/4105920
Therefore, the GCF of 2316/448,5784/9165 is 12/4105920.
To find the highest common factor of 2316,5784, we have to find the factors of both numbers and list the highest common factor.
The factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316
The factors of 5784 are 1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784
The HCF of 2316,5784 is 12.
Lets's calculate GCF of 2316,5784
| 2 | 2316, 5784 |
| 2 | 1158, 2892 |
| 3 | 579, 1446 |
| 193, 482 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2316,5784 By Matching Biggest Common Factor Method
Now, list down the factors of 2316
:1,2,3,4,6,12,193,386,579,772,1158,2316
Now, list down the factors of 5784
:1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784
Greatest Common Factor
We found the factors 2316,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 2316,5784 is 12.
Lets's calculate LCM of 448,9165
Given numbers has no common factors except 1. So, there LCM is their product i.e 4105920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4105920
Therefore, the GCF of Fractions 2316/448,5784/9165 is 12/4105920
Least Common Multiple of 448,9165 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 448,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,9165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,9165) x common factors =1 x 1 = 1
LCM(448,9165) = ( 448 × 9165 ) / 1
LCM(448,9165) = 4105920 / 1
LCM(448,9165) = 4105920
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FAQs on GCF of Fractions of 2316/448, 5784/9165
1. What is the HCF of 2316,5784?
The HCF of 2316,5784 is 12
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 2316/448, 5784/9165?
Answer: GCF of Numerators as per given numbers 2316/448, 5784/9165 is
GCF of Numerators i.e. for 2316,5784 is 12
LCM of denominators i.e. for 448,9165 is 4105920.
Thus, GCF of Fractions is 12/4105920.Finally, GCF of Fractions for 2316/448, 5784/9165 is 12/4105920.