GCF of 344/288, 896/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 344/288, 896/117 i.e 8/3744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 344/288, 896/117.
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 344/288,896/117?
Given fractions are 344/288,896/117
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 344/288,896/117, numerators are 344,896
Denominators are 288,117
The GCF of 344,896 is 8 .
LCM of 288,117 is 3744.
The greatest common factor of 344/288,896/117 = [GCF of 344,896]/[LCM of 288,117]= 8/3744
Therefore, the GCF of 344/288,896/117 is 8/3744.
To find the highest common factor of 344,896, we have to find the factors of both numbers and list the highest common factor.
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The HCF of 344,896 is 8.
Lets's calculate GCF of 344,896
| 2 | 344, 896 |
| 2 | 172, 448 |
| 2 | 86, 224 |
| 43, 112 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 344,896 By Matching Biggest Common Factor Method
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 344,896 . The biggest common factor number is the GCF number.
So the greatest common factor 344,896 is 8.
Lets's calculate LCM of 288,117
| 3 | 288, 117 |
| 3 | 96, 39 |
| 32, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 32 x 13 = 3744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3744
Therefore, the GCF of Fractions 344/288,896/117 is 8/3744
Least Common Multiple of 288,117 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 288,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,117) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(288,117) x common factors =9 x 1 = 9
LCM(288,117) = ( 288 × 117 ) / 9
LCM(288,117) = 33696 / 9
LCM(288,117) = 3744
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FAQs on GCF of Fractions of 344/288, 896/117
1. What is the HCF of 344,896?
The HCF of 344,896 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 344/288, 896/117?
Answer: GCF of Numerators as per given numbers 344/288, 896/117 is
GCF of Numerators i.e. for 344,896 is 8
LCM of denominators i.e. for 288,117 is 3744.
Thus, GCF of Fractions is 8/3744.Finally, GCF of Fractions for 344/288, 896/117 is 8/3744.