GCF of 5055/709, 2689/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5055/709, 2689/310 i.e 1/219790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5055/709, 2689/310.
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 5055/709,2689/310?
Given fractions are 5055/709,2689/310
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 5055/709,2689/310, numerators are 5055,2689
Denominators are 709,310
The GCF of 5055,2689 is 1 .
LCM of 709,310 is 219790.
The greatest common factor of 5055/709,2689/310 = [GCF of 5055,2689]/[LCM of 709,310]= 1/219790
Therefore, the GCF of 5055/709,2689/310 is 1/219790.
To find the highest common factor of 5055,2689, we have to find the factors of both numbers and list the highest common factor.
The factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055
The factors of 2689 are 1, 2689
The HCF of 5055,2689 is 1.
Lets's calculate GCF of 5055,2689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5055,2689 By Matching Biggest Common Factor Method
Now, list down the factors of 5055
:1,3,5,15,337,1011,1685,5055
Now, list down the factors of 2689
:1,2689
Greatest Common Factor
We found the factors 5055,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 5055,2689 is 1.
Lets's calculate LCM of 709,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 219790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219790
Therefore, the GCF of Fractions 5055/709,2689/310 is 1/219790
Least Common Multiple of 709,310 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 709,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,310) x common factors =1 x 1 = 1
LCM(709,310) = ( 709 × 310 ) / 1
LCM(709,310) = 219790 / 1
LCM(709,310) = 219790
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FAQs on GCF of Fractions of 5055/709, 2689/310
1. What is the HCF of 5055,2689?
The HCF of 5055,2689 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 5055/709, 2689/310?
Answer: GCF of Numerators as per given numbers 5055/709, 2689/310 is
GCF of Numerators i.e. for 5055,2689 is 1
LCM of denominators i.e. for 709,310 is 219790.
Thus, GCF of Fractions is 1/219790.Finally, GCF of Fractions for 5055/709, 2689/310 is 1/219790.