GCF of 8704/209, 8864/763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8704/209, 8864/763 i.e 32/159467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/209, 8864/763.
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 8704/209,8864/763?
Given fractions are 8704/209,8864/763
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 8704/209,8864/763, numerators are 8704,8864
Denominators are 209,763
The GCF of 8704,8864 is 32 .
LCM of 209,763 is 159467.
The greatest common factor of 8704/209,8864/763 = [GCF of 8704,8864]/[LCM of 209,763]= 32/159467
Therefore, the GCF of 8704/209,8864/763 is 32/159467.
To find the highest common factor of 8704,8864, we have to find the factors of both numbers and list the highest common factor.
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864
The HCF of 8704,8864 is 32.
Lets's calculate GCF of 8704,8864
| 2 | 8704, 8864 |
| 2 | 4352, 4432 |
| 2 | 2176, 2216 |
| 2 | 1088, 1108 |
| 2 | 544, 554 |
| 272, 277 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 8704,8864 By Matching Biggest Common Factor Method
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Now, list down the factors of 8864
:1,2,4,8,16,32,277,554,1108,2216,4432,8864
Greatest Common Factor
We found the factors 8704,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,8864 is 32.
Lets's calculate LCM of 209,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 159467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/159467
Therefore, the GCF of Fractions 8704/209,8864/763 is 32/159467
Least Common Multiple of 209,763 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 209,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,763) x common factors =1 x 1 = 1
LCM(209,763) = ( 209 × 763 ) / 1
LCM(209,763) = 159467 / 1
LCM(209,763) = 159467
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FAQs on GCF of Fractions of 8704/209, 8864/763
1. What is the HCF of 8704,8864?
The HCF of 8704,8864 is 32
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 8704/209, 8864/763?
Answer: GCF of Numerators as per given numbers 8704/209, 8864/763 is
GCF of Numerators i.e. for 8704,8864 is 32
LCM of denominators i.e. for 209,763 is 159467.
Thus, GCF of Fractions is 32/159467.Finally, GCF of Fractions for 8704/209, 8864/763 is 32/159467.