GCF of 1691/321, 2958/1371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1691/321, 2958/1371 i.e 1/146697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1691/321, 2958/1371.
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 1691/321,2958/1371?
Given fractions are 1691/321,2958/1371
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 1691/321,2958/1371, numerators are 1691,2958
Denominators are 321,1371
The GCF of 1691,2958 is 1 .
LCM of 321,1371 is 146697.
The greatest common factor of 1691/321,2958/1371 = [GCF of 1691,2958]/[LCM of 321,1371]= 1/146697
Therefore, the GCF of 1691/321,2958/1371 is 1/146697.
To find the highest common factor of 1691,2958, we have to find the factors of both numbers and list the highest common factor.
The factors of 1691 are 1, 19, 89, 1691
The factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958
The HCF of 1691,2958 is 1.
Lets's calculate GCF of 1691,2958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1691,2958 By Matching Biggest Common Factor Method
Now, list down the factors of 1691
:1,19,89,1691
Now, list down the factors of 2958
:1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Greatest Common Factor
We found the factors 1691,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,2958 is 1.
Lets's calculate LCM of 321,1371
| 3 | 321, 1371 |
| 107, 457 |
∴ So the LCM of the given numbers is 3 x 107 x 457 = 146697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146697
Therefore, the GCF of Fractions 1691/321,2958/1371 is 1/146697
Least Common Multiple of 321,1371 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 321,1371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,1371) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,1371) x common factors =3 x 1 = 3
LCM(321,1371) = ( 321 × 1371 ) / 3
LCM(321,1371) = 440091 / 3
LCM(321,1371) = 146697
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FAQs on GCF of Fractions of 1691/321, 2958/1371
1. What is the HCF of 1691,2958?
The HCF of 1691,2958 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 1691/321, 2958/1371?
Answer: GCF of Numerators as per given numbers 1691/321, 2958/1371 is
GCF of Numerators i.e. for 1691,2958 is 1
LCM of denominators i.e. for 321,1371 is 146697.
Thus, GCF of Fractions is 1/146697.Finally, GCF of Fractions for 1691/321, 2958/1371 is 1/146697.