GCF of 8897/128, 9610/7289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8897/128, 9610/7289 i.e 31/932992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8897/128, 9610/7289.
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 8897/128,9610/7289?
Given fractions are 8897/128,9610/7289
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 8897/128,9610/7289, numerators are 8897,9610
Denominators are 128,7289
The GCF of 8897,9610 is 31 .
LCM of 128,7289 is 932992.
The greatest common factor of 8897/128,9610/7289 = [GCF of 8897,9610]/[LCM of 128,7289]= 31/932992
Therefore, the GCF of 8897/128,9610/7289 is 31/932992.
To find the highest common factor of 8897,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 8897,9610 is 31.
Lets's calculate GCF of 8897,9610
| 31 | 8897, 9610 |
| 287, 310 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 8897,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 8897
:1,7,31,41,217,287,1271,8897
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 8897,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 8897,9610 is 31.
Lets's calculate LCM of 128,7289
Given numbers has no common factors except 1. So, there LCM is their product i.e 932992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/932992
Therefore, the GCF of Fractions 8897/128,9610/7289 is 31/932992
Least Common Multiple of 128,7289 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 128,7289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,7289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,7289) x common factors =1 x 1 = 1
LCM(128,7289) = ( 128 × 7289 ) / 1
LCM(128,7289) = 932992 / 1
LCM(128,7289) = 932992
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FAQs on GCF of Fractions of 8897/128, 9610/7289
1. What is the HCF of 8897,9610?
The HCF of 8897,9610 is 31
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 8897/128, 9610/7289?
Answer: GCF of Numerators as per given numbers 8897/128, 9610/7289 is
GCF of Numerators i.e. for 8897,9610 is 31
LCM of denominators i.e. for 128,7289 is 932992.
Thus, GCF of Fractions is 31/932992.Finally, GCF of Fractions for 8897/128, 9610/7289 is 31/932992.