GCF of 6511/256, 9008/9896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6511/256, 9008/9896 i.e 1/316672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6511/256, 9008/9896.
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 6511/256,9008/9896?
Given fractions are 6511/256,9008/9896
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 6511/256,9008/9896, numerators are 6511,9008
Denominators are 256,9896
The GCF of 6511,9008 is 1 .
LCM of 256,9896 is 316672.
The greatest common factor of 6511/256,9008/9896 = [GCF of 6511,9008]/[LCM of 256,9896]= 1/316672
Therefore, the GCF of 6511/256,9008/9896 is 1/316672.
To find the highest common factor of 6511,9008, we have to find the factors of both numbers and list the highest common factor.
The factors of 6511 are 1, 17, 383, 6511
The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008
The HCF of 6511,9008 is 1.
Lets's calculate GCF of 6511,9008
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6511,9008 By Matching Biggest Common Factor Method
Now, list down the factors of 6511
:1,17,383,6511
Now, list down the factors of 9008
:1,2,4,8,16,563,1126,2252,4504,9008
Greatest Common Factor
We found the factors 6511,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 6511,9008 is 1.
Lets's calculate LCM of 256,9896
| 2 | 256, 9896 |
| 2 | 128, 4948 |
| 2 | 64, 2474 |
| 32, 1237 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 32 x 1237 = 316672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316672
Therefore, the GCF of Fractions 6511/256,9008/9896 is 1/316672
Least Common Multiple of 256,9896 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 256,9896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,9896) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(256,9896) x common factors =8 x 1 = 8
LCM(256,9896) = ( 256 × 9896 ) / 8
LCM(256,9896) = 2533376 / 8
LCM(256,9896) = 316672
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FAQs on GCF of Fractions of 6511/256, 9008/9896
1. What is the HCF of 6511,9008?
The HCF of 6511,9008 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 6511/256, 9008/9896?
Answer: GCF of Numerators as per given numbers 6511/256, 9008/9896 is
GCF of Numerators i.e. for 6511,9008 is 1
LCM of denominators i.e. for 256,9896 is 316672.
Thus, GCF of Fractions is 1/316672.Finally, GCF of Fractions for 6511/256, 9008/9896 is 1/316672.