GCF of 880/792, 192/819, 838/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/792, 192/819, 838/910 i.e 2/360360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/792, 192/819, 838/910.
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 880/792,192/819,838/910?
Given fractions are 880/792,192/819,838/910
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 880/792,192/819,838/910, numerators are 880,192,838
Denominators are 792,819,910
The GCF of 880,192,838 is 2 .
LCM of 792,819,910 is 360360.
The greatest common factor of 880/792,192/819,838/910 = [GCF of 880,192,838]/[LCM of 792,819,910]= 2/360360
Therefore, the GCF of 880/792,192/819,838/910 is 2/360360.
To find the highest common factor of 880,192,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 838 are 1, 2, 419, 838
The HCF of 880,192,838 is 2.
Lets's calculate GCF of 880,192,838
| 2 | 880, 192, 838 |
| 440, 96, 419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 880,192,838 By Matching Biggest Common Factor Method
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 880,192,838 . The biggest common factor number is the GCF number.
So the greatest common factor 880,192,838 is 2.
Lets's calculate LCM of 792,819,910
| 2 | 792, 819, 910 |
| 3 | 396, 819, 455 |
| 3 | 132, 273, 455 |
| 7 | 44, 91, 455 |
| 13 | 44, 13, 65 |
| 44, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 13 x 44 x 1 x 5 = 360360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/360360
Therefore, the GCF of Fractions 880/792,192/819,838/910 is 2/360360
Least Common Multiple of 792,819,910 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 792,819,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,819,910) = 1
common factors(in case of two or more numbers have common factors) = 1638
GCF(792,819,910) x common factors =1 x 1638 = 1638
LCM(792,819,910) = ( 792 × 819 × 910 ) / 1638
LCM(792,819,910) = 590269680 / 1638
LCM(792,819,910) = 360360
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FAQs on GCF of Fractions of 880/792, 192/819, 838/910
1. What is the HCF of 880,192,838?
The HCF of 880,192,838 is 2
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 880/792, 192/819, 838/910?
Answer: GCF of Numerators as per given numbers 880/792, 192/819, 838/910 is
GCF of Numerators i.e. for 880,192,838 is 2
LCM of denominators i.e. for 792,819,910 is 360360.
Thus, GCF of Fractions is 2/360360.Finally, GCF of Fractions for 880/792, 192/819, 838/910 is 2/360360.