GCF of 1307/588, 3060/739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1307/588, 3060/739 i.e 1/434532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1307/588, 3060/739.
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 1307/588,3060/739?
Given fractions are 1307/588,3060/739
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 1307/588,3060/739, numerators are 1307,3060
Denominators are 588,739
The GCF of 1307,3060 is 1 .
LCM of 588,739 is 434532.
The greatest common factor of 1307/588,3060/739 = [GCF of 1307,3060]/[LCM of 588,739]= 1/434532
Therefore, the GCF of 1307/588,3060/739 is 1/434532.
To find the highest common factor of 1307,3060, we have to find the factors of both numbers and list the highest common factor.
The factors of 1307 are 1, 1307
The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
The HCF of 1307,3060 is 1.
Lets's calculate GCF of 1307,3060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1307,3060 By Matching Biggest Common Factor Method
Now, list down the factors of 1307
:1,1307
Now, list down the factors of 3060
:1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Greatest Common Factor
We found the factors 1307,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 1307,3060 is 1.
Lets's calculate LCM of 588,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 434532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434532
Therefore, the GCF of Fractions 1307/588,3060/739 is 1/434532
Least Common Multiple of 588,739 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 588,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,739) x common factors =1 x 1 = 1
LCM(588,739) = ( 588 × 739 ) / 1
LCM(588,739) = 434532 / 1
LCM(588,739) = 434532
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FAQs on GCF of Fractions of 1307/588, 3060/739
1. What is the HCF of 1307,3060?
The HCF of 1307,3060 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 1307/588, 3060/739?
Answer: GCF of Numerators as per given numbers 1307/588, 3060/739 is
GCF of Numerators i.e. for 1307,3060 is 1
LCM of denominators i.e. for 588,739 is 434532.
Thus, GCF of Fractions is 1/434532.Finally, GCF of Fractions for 1307/588, 3060/739 is 1/434532.