GCF of 8896/401, 9048/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8896/401, 9048/838 i.e 8/336038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8896/401, 9048/838.
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 8896/401,9048/838?
Given fractions are 8896/401,9048/838
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 8896/401,9048/838, numerators are 8896,9048
Denominators are 401,838
The GCF of 8896,9048 is 8 .
LCM of 401,838 is 336038.
The greatest common factor of 8896/401,9048/838 = [GCF of 8896,9048]/[LCM of 401,838]= 8/336038
Therefore, the GCF of 8896/401,9048/838 is 8/336038.
To find the highest common factor of 8896,9048, we have to find the factors of both numbers and list the highest common factor.
The factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The HCF of 8896,9048 is 8.
Lets's calculate GCF of 8896,9048
| 2 | 8896, 9048 |
| 2 | 4448, 4524 |
| 2 | 2224, 2262 |
| 1112, 1131 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8896,9048 By Matching Biggest Common Factor Method
Now, list down the factors of 8896
:1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 8896,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 8896,9048 is 8.
Lets's calculate LCM of 401,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 336038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/336038
Therefore, the GCF of Fractions 8896/401,9048/838 is 8/336038
Least Common Multiple of 401,838 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 401,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,838) x common factors =1 x 1 = 1
LCM(401,838) = ( 401 × 838 ) / 1
LCM(401,838) = 336038 / 1
LCM(401,838) = 336038
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FAQs on GCF of Fractions of 8896/401, 9048/838
1. What is the HCF of 8896,9048?
The HCF of 8896,9048 is 8
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 8896/401, 9048/838?
Answer: GCF of Numerators as per given numbers 8896/401, 9048/838 is
GCF of Numerators i.e. for 8896,9048 is 8
LCM of denominators i.e. for 401,838 is 336038.
Thus, GCF of Fractions is 8/336038.Finally, GCF of Fractions for 8896/401, 9048/838 is 8/336038.