GCF of 2440/151, 2905/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2440/151, 2905/717 i.e 5/108267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2440/151, 2905/717.
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 2440/151,2905/717?
Given fractions are 2440/151,2905/717
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 2440/151,2905/717, numerators are 2440,2905
Denominators are 151,717
The GCF of 2440,2905 is 5 .
LCM of 151,717 is 108267.
The greatest common factor of 2440/151,2905/717 = [GCF of 2440,2905]/[LCM of 151,717]= 5/108267
Therefore, the GCF of 2440/151,2905/717 is 5/108267.
To find the highest common factor of 2440,2905, we have to find the factors of both numbers and list the highest common factor.
The factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440
The factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905
The HCF of 2440,2905 is 5.
Lets's calculate GCF of 2440,2905
| 5 | 2440, 2905 |
| 488, 581 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2440,2905 By Matching Biggest Common Factor Method
Now, list down the factors of 2440
:1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440
Now, list down the factors of 2905
:1,5,7,35,83,415,581,2905
Greatest Common Factor
We found the factors 2440,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 2440,2905 is 5.
Lets's calculate LCM of 151,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 108267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/108267
Therefore, the GCF of Fractions 2440/151,2905/717 is 5/108267
Least Common Multiple of 151,717 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 151,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,717) x common factors =1 x 1 = 1
LCM(151,717) = ( 151 × 717 ) / 1
LCM(151,717) = 108267 / 1
LCM(151,717) = 108267
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FAQs on GCF of Fractions of 2440/151, 2905/717
1. What is the HCF of 2440,2905?
The HCF of 2440,2905 is 5
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 2440/151, 2905/717?
Answer: GCF of Numerators as per given numbers 2440/151, 2905/717 is
GCF of Numerators i.e. for 2440,2905 is 5
LCM of denominators i.e. for 151,717 is 108267.
Thus, GCF of Fractions is 5/108267.Finally, GCF of Fractions for 2440/151, 2905/717 is 5/108267.