GCF of 574/515, 1491/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 574/515, 1491/109 i.e 7/56135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/515, 1491/109.
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 574/515,1491/109?
Given fractions are 574/515,1491/109
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 574/515,1491/109, numerators are 574,1491
Denominators are 515,109
The GCF of 574,1491 is 7 .
LCM of 515,109 is 56135.
The greatest common factor of 574/515,1491/109 = [GCF of 574,1491]/[LCM of 515,109]= 7/56135
Therefore, the GCF of 574/515,1491/109 is 7/56135.
To find the highest common factor of 574,1491, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491
The HCF of 574,1491 is 7.
Lets's calculate GCF of 574,1491
| 7 | 574, 1491 |
| 82, 213 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 574,1491 By Matching Biggest Common Factor Method
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 1491
:1,3,7,21,71,213,497,1491
Greatest Common Factor
We found the factors 574,1491 . The biggest common factor number is the GCF number.
So the greatest common factor 574,1491 is 7.
Lets's calculate LCM of 515,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 56135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/56135
Therefore, the GCF of Fractions 574/515,1491/109 is 7/56135
Least Common Multiple of 515,109 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 515,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,109) x common factors =1 x 1 = 1
LCM(515,109) = ( 515 × 109 ) / 1
LCM(515,109) = 56135 / 1
LCM(515,109) = 56135
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 574/515, 1491/109
1. What is the HCF of 574,1491?
The HCF of 574,1491 is 7
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 574/515, 1491/109?
Answer: GCF of Numerators as per given numbers 574/515, 1491/109 is
GCF of Numerators i.e. for 574,1491 is 7
LCM of denominators i.e. for 515,109 is 56135.
Thus, GCF of Fractions is 7/56135.Finally, GCF of Fractions for 574/515, 1491/109 is 7/56135.