GCF of 8576/910, 6944/2288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8576/910, 6944/2288 i.e 32/80080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8576/910, 6944/2288.
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 8576/910,6944/2288?
Given fractions are 8576/910,6944/2288
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 8576/910,6944/2288, numerators are 8576,6944
Denominators are 910,2288
The GCF of 8576,6944 is 32 .
LCM of 910,2288 is 80080.
The greatest common factor of 8576/910,6944/2288 = [GCF of 8576,6944]/[LCM of 910,2288]= 32/80080
Therefore, the GCF of 8576/910,6944/2288 is 32/80080.
To find the highest common factor of 8576,6944, we have to find the factors of both numbers and list the highest common factor.
The factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944
The HCF of 8576,6944 is 32.
Lets's calculate GCF of 8576,6944
| 2 | 8576, 6944 |
| 2 | 4288, 3472 |
| 2 | 2144, 1736 |
| 2 | 1072, 868 |
| 2 | 536, 434 |
| 268, 217 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 8576,6944 By Matching Biggest Common Factor Method
Now, list down the factors of 8576
:1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576
Now, list down the factors of 6944
:1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors 8576,6944 . The biggest common factor number is the GCF number.
So the greatest common factor 8576,6944 is 32.
Lets's calculate LCM of 910,2288
| 2 | 910, 2288 |
| 13 | 455, 1144 |
| 35, 88 |
∴ So the LCM of the given numbers is 2 x 13 x 35 x 88 = 80080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/80080
Therefore, the GCF of Fractions 8576/910,6944/2288 is 32/80080
Least Common Multiple of 910,2288 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 910,2288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,2288) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(910,2288) x common factors =26 x 1 = 26
LCM(910,2288) = ( 910 × 2288 ) / 26
LCM(910,2288) = 2082080 / 26
LCM(910,2288) = 80080
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FAQs on GCF of Fractions of 8576/910, 6944/2288
1. What is the HCF of 8576,6944?
The HCF of 8576,6944 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 8576/910, 6944/2288?
Answer: GCF of Numerators as per given numbers 8576/910, 6944/2288 is
GCF of Numerators i.e. for 8576,6944 is 32
LCM of denominators i.e. for 910,2288 is 80080.
Thus, GCF of Fractions is 32/80080.Finally, GCF of Fractions for 8576/910, 6944/2288 is 32/80080.