GCF of 5192/448, 9216/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5192/448, 9216/345 i.e 8/154560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5192/448, 9216/345.
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 5192/448,9216/345?
Given fractions are 5192/448,9216/345
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 5192/448,9216/345, numerators are 5192,9216
Denominators are 448,345
The GCF of 5192,9216 is 8 .
LCM of 448,345 is 154560.
The greatest common factor of 5192/448,9216/345 = [GCF of 5192,9216]/[LCM of 448,345]= 8/154560
Therefore, the GCF of 5192/448,9216/345 is 8/154560.
To find the highest common factor of 5192,9216, we have to find the factors of both numbers and list the highest common factor.
The factors of 5192 are 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192
The factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216
The HCF of 5192,9216 is 8.
Lets's calculate GCF of 5192,9216
| 2 | 5192, 9216 |
| 2 | 2596, 4608 |
| 2 | 1298, 2304 |
| 649, 1152 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5192,9216 By Matching Biggest Common Factor Method
Now, list down the factors of 5192
:1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192
Now, list down the factors of 9216
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216
Greatest Common Factor
We found the factors 5192,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 5192,9216 is 8.
Lets's calculate LCM of 448,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 154560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/154560
Therefore, the GCF of Fractions 5192/448,9216/345 is 8/154560
Least Common Multiple of 448,345 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 448,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,345) x common factors =1 x 1 = 1
LCM(448,345) = ( 448 × 345 ) / 1
LCM(448,345) = 154560 / 1
LCM(448,345) = 154560
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FAQs on GCF of Fractions of 5192/448, 9216/345
1. What is the HCF of 5192,9216?
The HCF of 5192,9216 is 8
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 5192/448, 9216/345?
Answer: GCF of Numerators as per given numbers 5192/448, 9216/345 is
GCF of Numerators i.e. for 5192,9216 is 8
LCM of denominators i.e. for 448,345 is 154560.
Thus, GCF of Fractions is 8/154560.Finally, GCF of Fractions for 5192/448, 9216/345 is 8/154560.