GCF of 1719/288, 2317/7451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1719/288, 2317/7451 i.e 1/2145888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1719/288, 2317/7451.
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 1719/288,2317/7451?
Given fractions are 1719/288,2317/7451
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 1719/288,2317/7451, numerators are 1719,2317
Denominators are 288,7451
The GCF of 1719,2317 is 1 .
LCM of 288,7451 is 2145888.
The greatest common factor of 1719/288,2317/7451 = [GCF of 1719,2317]/[LCM of 288,7451]= 1/2145888
Therefore, the GCF of 1719/288,2317/7451 is 1/2145888.
To find the highest common factor of 1719,2317, we have to find the factors of both numbers and list the highest common factor.
The factors of 1719 are 1, 3, 9, 191, 573, 1719
The factors of 2317 are 1, 7, 331, 2317
The HCF of 1719,2317 is 1.
Lets's calculate GCF of 1719,2317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1719,2317 By Matching Biggest Common Factor Method
Now, list down the factors of 1719
:1,3,9,191,573,1719
Now, list down the factors of 2317
:1,7,331,2317
Greatest Common Factor
We found the factors 1719,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 1719,2317 is 1.
Lets's calculate LCM of 288,7451
Given numbers has no common factors except 1. So, there LCM is their product i.e 2145888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2145888
Therefore, the GCF of Fractions 1719/288,2317/7451 is 1/2145888
Least Common Multiple of 288,7451 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 288,7451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,7451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,7451) x common factors =1 x 1 = 1
LCM(288,7451) = ( 288 × 7451 ) / 1
LCM(288,7451) = 2145888 / 1
LCM(288,7451) = 2145888
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FAQs on GCF of Fractions of 1719/288, 2317/7451
1. What is the HCF of 1719,2317?
The HCF of 1719,2317 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 1719/288, 2317/7451?
Answer: GCF of Numerators as per given numbers 1719/288, 2317/7451 is
GCF of Numerators i.e. for 1719,2317 is 1
LCM of denominators i.e. for 288,7451 is 2145888.
Thus, GCF of Fractions is 1/2145888.Finally, GCF of Fractions for 1719/288, 2317/7451 is 1/2145888.