GCF of 9312/284, 8374/2247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9312/284, 8374/2247 i.e 2/638148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9312/284, 8374/2247.
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 9312/284,8374/2247?
Given fractions are 9312/284,8374/2247
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 9312/284,8374/2247, numerators are 9312,8374
Denominators are 284,2247
The GCF of 9312,8374 is 2 .
LCM of 284,2247 is 638148.
The greatest common factor of 9312/284,8374/2247 = [GCF of 9312,8374]/[LCM of 284,2247]= 2/638148
Therefore, the GCF of 9312/284,8374/2247 is 2/638148.
To find the highest common factor of 9312,8374, we have to find the factors of both numbers and list the highest common factor.
The factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312
The factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374
The HCF of 9312,8374 is 2.
Lets's calculate GCF of 9312,8374
| 2 | 9312, 8374 |
| 4656, 4187 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9312,8374 By Matching Biggest Common Factor Method
Now, list down the factors of 9312
:1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312
Now, list down the factors of 8374
:1,2,53,79,106,158,4187,8374
Greatest Common Factor
We found the factors 9312,8374 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,8374 is 2.
Lets's calculate LCM of 284,2247
Given numbers has no common factors except 1. So, there LCM is their product i.e 638148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/638148
Therefore, the GCF of Fractions 9312/284,8374/2247 is 2/638148
Least Common Multiple of 284,2247 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 284,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,2247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,2247) x common factors =1 x 1 = 1
LCM(284,2247) = ( 284 × 2247 ) / 1
LCM(284,2247) = 638148 / 1
LCM(284,2247) = 638148
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FAQs on GCF of Fractions of 9312/284, 8374/2247
1. What is the HCF of 9312,8374?
The HCF of 9312,8374 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 9312/284, 8374/2247?
Answer: GCF of Numerators as per given numbers 9312/284, 8374/2247 is
GCF of Numerators i.e. for 9312,8374 is 2
LCM of denominators i.e. for 284,2247 is 638148.
Thus, GCF of Fractions is 2/638148.Finally, GCF of Fractions for 9312/284, 8374/2247 is 2/638148.