GCF of 3526/335, 7035/2721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3526/335, 7035/2721 i.e 1/911535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3526/335, 7035/2721.
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 3526/335,7035/2721?
Given fractions are 3526/335,7035/2721
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 3526/335,7035/2721, numerators are 3526,7035
Denominators are 335,2721
The GCF of 3526,7035 is 1 .
LCM of 335,2721 is 911535.
The greatest common factor of 3526/335,7035/2721 = [GCF of 3526,7035]/[LCM of 335,2721]= 1/911535
Therefore, the GCF of 3526/335,7035/2721 is 1/911535.
To find the highest common factor of 3526,7035, we have to find the factors of both numbers and list the highest common factor.
The factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The HCF of 3526,7035 is 1.
Lets's calculate GCF of 3526,7035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3526,7035 By Matching Biggest Common Factor Method
Now, list down the factors of 3526
:1,2,41,43,82,86,1763,3526
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Greatest Common Factor
We found the factors 3526,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 3526,7035 is 1.
Lets's calculate LCM of 335,2721
Given numbers has no common factors except 1. So, there LCM is their product i.e 911535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/911535
Therefore, the GCF of Fractions 3526/335,7035/2721 is 1/911535
Least Common Multiple of 335,2721 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 335,2721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,2721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,2721) x common factors =1 x 1 = 1
LCM(335,2721) = ( 335 × 2721 ) / 1
LCM(335,2721) = 911535 / 1
LCM(335,2721) = 911535
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FAQs on GCF of Fractions of 3526/335, 7035/2721
1. What is the HCF of 3526,7035?
The HCF of 3526,7035 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 3526/335, 7035/2721?
Answer: GCF of Numerators as per given numbers 3526/335, 7035/2721 is
GCF of Numerators i.e. for 3526,7035 is 1
LCM of denominators i.e. for 335,2721 is 911535.
Thus, GCF of Fractions is 1/911535.Finally, GCF of Fractions for 3526/335, 7035/2721 is 1/911535.