GCF of 9287/718, 6912/8456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9287/718, 6912/8456 i.e 1/3035704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9287/718, 6912/8456.
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 9287/718,6912/8456?
Given fractions are 9287/718,6912/8456
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 9287/718,6912/8456, numerators are 9287,6912
Denominators are 718,8456
The GCF of 9287,6912 is 1 .
LCM of 718,8456 is 3035704.
The greatest common factor of 9287/718,6912/8456 = [GCF of 9287,6912]/[LCM of 718,8456]= 1/3035704
Therefore, the GCF of 9287/718,6912/8456 is 1/3035704.
To find the highest common factor of 9287,6912, we have to find the factors of both numbers and list the highest common factor.
The factors of 9287 are 1, 37, 251, 9287
The factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912
The HCF of 9287,6912 is 1.
Lets's calculate GCF of 9287,6912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9287,6912 By Matching Biggest Common Factor Method
Now, list down the factors of 9287
:1,37,251,9287
Now, list down the factors of 6912
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Greatest Common Factor
We found the factors 9287,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 9287,6912 is 1.
Lets's calculate LCM of 718,8456
| 2 | 718, 8456 |
| 359, 4228 |
∴ So the LCM of the given numbers is 2 x 359 x 4228 = 3035704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3035704
Therefore, the GCF of Fractions 9287/718,6912/8456 is 1/3035704
Least Common Multiple of 718,8456 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 718,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,8456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,8456) x common factors =2 x 1 = 2
LCM(718,8456) = ( 718 × 8456 ) / 2
LCM(718,8456) = 6071408 / 2
LCM(718,8456) = 3035704
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FAQs on GCF of Fractions of 9287/718, 6912/8456
1. What is the HCF of 9287,6912?
The HCF of 9287,6912 is 1
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 9287/718, 6912/8456?
Answer: GCF of Numerators as per given numbers 9287/718, 6912/8456 is
GCF of Numerators i.e. for 9287,6912 is 1
LCM of denominators i.e. for 718,8456 is 3035704.
Thus, GCF of Fractions is 1/3035704.Finally, GCF of Fractions for 9287/718, 6912/8456 is 1/3035704.