GCF of 988/319, 2989/1441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 988/319, 2989/1441 i.e 1/41789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/319, 2989/1441.
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 988/319,2989/1441?
Given fractions are 988/319,2989/1441
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 988/319,2989/1441, numerators are 988,2989
Denominators are 319,1441
The GCF of 988,2989 is 1 .
LCM of 319,1441 is 41789.
The greatest common factor of 988/319,2989/1441 = [GCF of 988,2989]/[LCM of 319,1441]= 1/41789
Therefore, the GCF of 988/319,2989/1441 is 1/41789.
To find the highest common factor of 988,2989, we have to find the factors of both numbers and list the highest common factor.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 2989 are 1, 7, 49, 61, 427, 2989
The HCF of 988,2989 is 1.
Lets's calculate GCF of 988,2989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 988,2989 By Matching Biggest Common Factor Method
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Now, list down the factors of 2989
:1,7,49,61,427,2989
Greatest Common Factor
We found the factors 988,2989 . The biggest common factor number is the GCF number.
So the greatest common factor 988,2989 is 1.
Lets's calculate LCM of 319,1441
| 11 | 319, 1441 |
| 29, 131 |
∴ So the LCM of the given numbers is 11 x 29 x 131 = 41789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41789
Therefore, the GCF of Fractions 988/319,2989/1441 is 1/41789
Least Common Multiple of 319,1441 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 319,1441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,1441) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(319,1441) x common factors =11 x 1 = 11
LCM(319,1441) = ( 319 × 1441 ) / 11
LCM(319,1441) = 459679 / 11
LCM(319,1441) = 41789
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 988/319, 2989/1441
1. What is the HCF of 988,2989?
The HCF of 988,2989 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 988/319, 2989/1441?
Answer: GCF of Numerators as per given numbers 988/319, 2989/1441 is
GCF of Numerators i.e. for 988,2989 is 1
LCM of denominators i.e. for 319,1441 is 41789.
Thus, GCF of Fractions is 1/41789.Finally, GCF of Fractions for 988/319, 2989/1441 is 1/41789.