GCF of 6906/921, 8146/1152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6906/921, 8146/1152 i.e 2/353664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6906/921, 8146/1152.
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 6906/921,8146/1152?
Given fractions are 6906/921,8146/1152
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 6906/921,8146/1152, numerators are 6906,8146
Denominators are 921,1152
The GCF of 6906,8146 is 2 .
LCM of 921,1152 is 353664.
The greatest common factor of 6906/921,8146/1152 = [GCF of 6906,8146]/[LCM of 921,1152]= 2/353664
Therefore, the GCF of 6906/921,8146/1152 is 2/353664.
To find the highest common factor of 6906,8146, we have to find the factors of both numbers and list the highest common factor.
The factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906
The factors of 8146 are 1, 2, 4073, 8146
The HCF of 6906,8146 is 2.
Lets's calculate GCF of 6906,8146
| 2 | 6906, 8146 |
| 3453, 4073 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6906,8146 By Matching Biggest Common Factor Method
Now, list down the factors of 6906
:1,2,3,6,1151,2302,3453,6906
Now, list down the factors of 8146
:1,2,4073,8146
Greatest Common Factor
We found the factors 6906,8146 . The biggest common factor number is the GCF number.
So the greatest common factor 6906,8146 is 2.
Lets's calculate LCM of 921,1152
| 3 | 921, 1152 |
| 307, 384 |
∴ So the LCM of the given numbers is 3 x 307 x 384 = 353664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/353664
Therefore, the GCF of Fractions 6906/921,8146/1152 is 2/353664
Least Common Multiple of 921,1152 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 921,1152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,1152) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,1152) x common factors =3 x 1 = 3
LCM(921,1152) = ( 921 × 1152 ) / 3
LCM(921,1152) = 1060992 / 3
LCM(921,1152) = 353664
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FAQs on GCF of Fractions of 6906/921, 8146/1152
1. What is the HCF of 6906,8146?
The HCF of 6906,8146 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 6906/921, 8146/1152?
Answer: GCF of Numerators as per given numbers 6906/921, 8146/1152 is
GCF of Numerators i.e. for 6906,8146 is 2
LCM of denominators i.e. for 921,1152 is 353664.
Thus, GCF of Fractions is 2/353664.Finally, GCF of Fractions for 6906/921, 8146/1152 is 2/353664.