GCF of 2571/340, 2896/7661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2571/340, 2896/7661 i.e 1/2604740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2571/340, 2896/7661.
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 2571/340,2896/7661?
Given fractions are 2571/340,2896/7661
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 2571/340,2896/7661, numerators are 2571,2896
Denominators are 340,7661
The GCF of 2571,2896 is 1 .
LCM of 340,7661 is 2604740.
The greatest common factor of 2571/340,2896/7661 = [GCF of 2571,2896]/[LCM of 340,7661]= 1/2604740
Therefore, the GCF of 2571/340,2896/7661 is 1/2604740.
To find the highest common factor of 2571,2896, we have to find the factors of both numbers and list the highest common factor.
The factors of 2571 are 1, 3, 857, 2571
The factors of 2896 are 1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896
The HCF of 2571,2896 is 1.
Lets's calculate GCF of 2571,2896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2571,2896 By Matching Biggest Common Factor Method
Now, list down the factors of 2571
:1,3,857,2571
Now, list down the factors of 2896
:1,2,4,8,16,181,362,724,1448,2896
Greatest Common Factor
We found the factors 2571,2896 . The biggest common factor number is the GCF number.
So the greatest common factor 2571,2896 is 1.
Lets's calculate LCM of 340,7661
Given numbers has no common factors except 1. So, there LCM is their product i.e 2604740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604740
Therefore, the GCF of Fractions 2571/340,2896/7661 is 1/2604740
Least Common Multiple of 340,7661 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 340,7661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,7661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,7661) x common factors =1 x 1 = 1
LCM(340,7661) = ( 340 × 7661 ) / 1
LCM(340,7661) = 2604740 / 1
LCM(340,7661) = 2604740
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FAQs on GCF of Fractions of 2571/340, 2896/7661
1. What is the HCF of 2571,2896?
The HCF of 2571,2896 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 2571/340, 2896/7661?
Answer: GCF of Numerators as per given numbers 2571/340, 2896/7661 is
GCF of Numerators i.e. for 2571,2896 is 1
LCM of denominators i.e. for 340,7661 is 2604740.
Thus, GCF of Fractions is 1/2604740.Finally, GCF of Fractions for 2571/340, 2896/7661 is 1/2604740.