GCF of 3311/128, 6710/1360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3311/128, 6710/1360 i.e 11/10880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3311/128, 6710/1360.
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 3311/128,6710/1360?
Given fractions are 3311/128,6710/1360
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 3311/128,6710/1360, numerators are 3311,6710
Denominators are 128,1360
The GCF of 3311,6710 is 11 .
LCM of 128,1360 is 10880.
The greatest common factor of 3311/128,6710/1360 = [GCF of 3311,6710]/[LCM of 128,1360]= 11/10880
Therefore, the GCF of 3311/128,6710/1360 is 11/10880.
To find the highest common factor of 3311,6710, we have to find the factors of both numbers and list the highest common factor.
The factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311
The factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
The HCF of 3311,6710 is 11.
Lets's calculate GCF of 3311,6710
| 11 | 3311, 6710 |
| 301, 610 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3311,6710 By Matching Biggest Common Factor Method
Now, list down the factors of 3311
:1,7,11,43,77,301,473,3311
Now, list down the factors of 6710
:1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Greatest Common Factor
We found the factors 3311,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 3311,6710 is 11.
Lets's calculate LCM of 128,1360
| 2 | 128, 1360 |
| 2 | 64, 680 |
| 2 | 32, 340 |
| 2 | 16, 170 |
| 8, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 8 x 85 = 10880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/10880
Therefore, the GCF of Fractions 3311/128,6710/1360 is 11/10880
Least Common Multiple of 128,1360 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 128,1360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,1360) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(128,1360) x common factors =16 x 1 = 16
LCM(128,1360) = ( 128 × 1360 ) / 16
LCM(128,1360) = 174080 / 16
LCM(128,1360) = 10880
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FAQs on GCF of Fractions of 3311/128, 6710/1360
1. What is the HCF of 3311,6710?
The HCF of 3311,6710 is 11
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 3311/128, 6710/1360?
Answer: GCF of Numerators as per given numbers 3311/128, 6710/1360 is
GCF of Numerators i.e. for 3311,6710 is 11
LCM of denominators i.e. for 128,1360 is 10880.
Thus, GCF of Fractions is 11/10880.Finally, GCF of Fractions for 3311/128, 6710/1360 is 11/10880.