GCF of 9421/792, 6912/1906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9421/792, 6912/1906 i.e 1/754776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9421/792, 6912/1906.
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 9421/792,6912/1906?
Given fractions are 9421/792,6912/1906
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 9421/792,6912/1906, numerators are 9421,6912
Denominators are 792,1906
The GCF of 9421,6912 is 1 .
LCM of 792,1906 is 754776.
The greatest common factor of 9421/792,6912/1906 = [GCF of 9421,6912]/[LCM of 792,1906]= 1/754776
Therefore, the GCF of 9421/792,6912/1906 is 1/754776.
To find the highest common factor of 9421,6912, we have to find the factors of both numbers and list the highest common factor.
The factors of 9421 are 1, 9421
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 9421,6912 is 1.
Lets's calculate GCF of 9421,6912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9421,6912 By Matching Biggest Common Factor Method
Now, list down the factors of 9421
:1,9421
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 9421,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 9421,6912 is 1.
Lets's calculate LCM of 792,1906
| 2 | 792, 1906 |
| 396, 953 |
∴ So the LCM of the given numbers is 2 x 396 x 953 = 754776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754776
Therefore, the GCF of Fractions 9421/792,6912/1906 is 1/754776
Least Common Multiple of 792,1906 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 792,1906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,1906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(792,1906) x common factors =2 x 1 = 2
LCM(792,1906) = ( 792 × 1906 ) / 2
LCM(792,1906) = 1509552 / 2
LCM(792,1906) = 754776
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FAQs on GCF of Fractions of 9421/792, 6912/1906
1. What is the HCF of 9421,6912?
The HCF of 9421,6912 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 9421/792, 6912/1906?
Answer: GCF of Numerators as per given numbers 9421/792, 6912/1906 is
GCF of Numerators i.e. for 9421,6912 is 1
LCM of denominators i.e. for 792,1906 is 754776.
Thus, GCF of Fractions is 1/754776.Finally, GCF of Fractions for 9421/792, 6912/1906 is 1/754776.