GCF of 7310/593, 1709/2427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7310/593, 1709/2427 i.e 1/1439211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7310/593, 1709/2427.
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 7310/593,1709/2427?
Given fractions are 7310/593,1709/2427
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 7310/593,1709/2427, numerators are 7310,1709
Denominators are 593,2427
The GCF of 7310,1709 is 1 .
LCM of 593,2427 is 1439211.
The greatest common factor of 7310/593,1709/2427 = [GCF of 7310,1709]/[LCM of 593,2427]= 1/1439211
Therefore, the GCF of 7310/593,1709/2427 is 1/1439211.
To find the highest common factor of 7310,1709, we have to find the factors of both numbers and list the highest common factor.
The factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310
The factors of 1709 are 1, 1709
The HCF of 7310,1709 is 1.
Lets's calculate GCF of 7310,1709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7310,1709 By Matching Biggest Common Factor Method
Now, list down the factors of 7310
:1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310
Now, list down the factors of 1709
:1,1709
Greatest Common Factor
We found the factors 7310,1709 . The biggest common factor number is the GCF number.
So the greatest common factor 7310,1709 is 1.
Lets's calculate LCM of 593,2427
Given numbers has no common factors except 1. So, there LCM is their product i.e 1439211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1439211
Therefore, the GCF of Fractions 7310/593,1709/2427 is 1/1439211
Least Common Multiple of 593,2427 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 593,2427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,2427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,2427) x common factors =1 x 1 = 1
LCM(593,2427) = ( 593 × 2427 ) / 1
LCM(593,2427) = 1439211 / 1
LCM(593,2427) = 1439211
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7310/593, 1709/2427
1. What is the HCF of 7310,1709?
The HCF of 7310,1709 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 7310/593, 1709/2427?
Answer: GCF of Numerators as per given numbers 7310/593, 1709/2427 is
GCF of Numerators i.e. for 7310,1709 is 1
LCM of denominators i.e. for 593,2427 is 1439211.
Thus, GCF of Fractions is 1/1439211.Finally, GCF of Fractions for 7310/593, 1709/2427 is 1/1439211.