GCF of 998/883, 885/444, 319/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 998/883, 885/444, 319/592 i.e 1/1568208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/883, 885/444, 319/592.
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 998/883,885/444,319/592?
Given fractions are 998/883,885/444,319/592
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 998/883,885/444,319/592, numerators are 998,885,319
Denominators are 883,444,592
The GCF of 998,885,319 is 1 .
LCM of 883,444,592 is 1568208.
The greatest common factor of 998/883,885/444,319/592 = [GCF of 998,885,319]/[LCM of 883,444,592]= 1/1568208
Therefore, the GCF of 998/883,885/444,319/592 is 1/1568208.
To find the highest common factor of 998,885,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 998 are 1, 2, 499, 998
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The factors of 319 are 1, 11, 29, 319
The HCF of 998,885,319 is 1.
Lets's calculate GCF of 998,885,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 998,885,319 By Matching Biggest Common Factor Method
Now, list down the factors of 998
:1,2,499,998
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 998,885,319 . The biggest common factor number is the GCF number.
So the greatest common factor 998,885,319 is 1.
Lets's calculate LCM of 883,444,592
| 2 | 883, 444, 592 |
| 2 | 883, 222, 296 |
| 37 | 883, 111, 148 |
| 883, 3, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 883 x 3 x 4 = 1568208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1568208
Therefore, the GCF of Fractions 998/883,885/444,319/592 is 1/1568208
Least Common Multiple of 883,444,592 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 883,444,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,444,592) = 1
common factors(in case of two or more numbers have common factors) = 148
GCF(883,444,592) x common factors =1 x 148 = 148
LCM(883,444,592) = ( 883 × 444 × 592 ) / 148
LCM(883,444,592) = 232094784 / 148
LCM(883,444,592) = 1568208
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FAQs on GCF of Fractions of 998/883, 885/444, 319/592
1. What is the HCF of 998,885,319?
The HCF of 998,885,319 is 1
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 998/883, 885/444, 319/592?
Answer: GCF of Numerators as per given numbers 998/883, 885/444, 319/592 is
GCF of Numerators i.e. for 998,885,319 is 1
LCM of denominators i.e. for 883,444,592 is 1568208.
Thus, GCF of Fractions is 1/1568208.Finally, GCF of Fractions for 998/883, 885/444, 319/592 is 1/1568208.