GCF of 1990/982, 2066/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1990/982, 2066/319 i.e 2/313258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1990/982, 2066/319.
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 1990/982,2066/319?
Given fractions are 1990/982,2066/319
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 1990/982,2066/319, numerators are 1990,2066
Denominators are 982,319
The GCF of 1990,2066 is 2 .
LCM of 982,319 is 313258.
The greatest common factor of 1990/982,2066/319 = [GCF of 1990,2066]/[LCM of 982,319]= 2/313258
Therefore, the GCF of 1990/982,2066/319 is 2/313258.
To find the highest common factor of 1990,2066, we have to find the factors of both numbers and list the highest common factor.
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The factors of 2066 are 1, 2, 1033, 2066
The HCF of 1990,2066 is 2.
Lets's calculate GCF of 1990,2066
| 2 | 1990, 2066 |
| 995, 1033 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1990,2066 By Matching Biggest Common Factor Method
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Now, list down the factors of 2066
:1,2,1033,2066
Greatest Common Factor
We found the factors 1990,2066 . The biggest common factor number is the GCF number.
So the greatest common factor 1990,2066 is 2.
Lets's calculate LCM of 982,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 313258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313258
Therefore, the GCF of Fractions 1990/982,2066/319 is 2/313258
Least Common Multiple of 982,319 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 982,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,319) x common factors =1 x 1 = 1
LCM(982,319) = ( 982 × 319 ) / 1
LCM(982,319) = 313258 / 1
LCM(982,319) = 313258
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1990/982, 2066/319
1. What is the HCF of 1990,2066?
The HCF of 1990,2066 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 1990/982, 2066/319?
Answer: GCF of Numerators as per given numbers 1990/982, 2066/319 is
GCF of Numerators i.e. for 1990,2066 is 2
LCM of denominators i.e. for 982,319 is 313258.
Thus, GCF of Fractions is 2/313258.Finally, GCF of Fractions for 1990/982, 2066/319 is 2/313258.