GCF of 1016/921, 6146/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1016/921, 6146/105 i.e 2/32235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1016/921, 6146/105.
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 1016/921,6146/105?
Given fractions are 1016/921,6146/105
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 1016/921,6146/105, numerators are 1016,6146
Denominators are 921,105
The GCF of 1016,6146 is 2 .
LCM of 921,105 is 32235.
The greatest common factor of 1016/921,6146/105 = [GCF of 1016,6146]/[LCM of 921,105]= 2/32235
Therefore, the GCF of 1016/921,6146/105 is 2/32235.
To find the highest common factor of 1016,6146, we have to find the factors of both numbers and list the highest common factor.
The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016
The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146
The HCF of 1016,6146 is 2.
Lets's calculate GCF of 1016,6146
| 2 | 1016, 6146 |
| 508, 3073 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1016,6146 By Matching Biggest Common Factor Method
Now, list down the factors of 1016
:1,2,4,8,127,254,508,1016
Now, list down the factors of 6146
:1,2,7,14,439,878,3073,6146
Greatest Common Factor
We found the factors 1016,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 1016,6146 is 2.
Lets's calculate LCM of 921,105
| 3 | 921, 105 |
| 307, 35 |
∴ So the LCM of the given numbers is 3 x 307 x 35 = 32235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32235
Therefore, the GCF of Fractions 1016/921,6146/105 is 2/32235
Least Common Multiple of 921,105 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 921,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,105) x common factors =3 x 1 = 3
LCM(921,105) = ( 921 × 105 ) / 3
LCM(921,105) = 96705 / 3
LCM(921,105) = 32235
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FAQs on GCF of Fractions of 1016/921, 6146/105
1. What is the HCF of 1016,6146?
The HCF of 1016,6146 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 1016/921, 6146/105?
Answer: GCF of Numerators as per given numbers 1016/921, 6146/105 is
GCF of Numerators i.e. for 1016,6146 is 2
LCM of denominators i.e. for 921,105 is 32235.
Thus, GCF of Fractions is 2/32235.Finally, GCF of Fractions for 1016/921, 6146/105 is 2/32235.