GCF of 7403/529, 6997/4097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7403/529, 6997/4097 i.e 1/2167313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7403/529, 6997/4097.
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 7403/529,6997/4097?
Given fractions are 7403/529,6997/4097
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 7403/529,6997/4097, numerators are 7403,6997
Denominators are 529,4097
The GCF of 7403,6997 is 1 .
LCM of 529,4097 is 2167313.
The greatest common factor of 7403/529,6997/4097 = [GCF of 7403,6997]/[LCM of 529,4097]= 1/2167313
Therefore, the GCF of 7403/529,6997/4097 is 1/2167313.
To find the highest common factor of 7403,6997, we have to find the factors of both numbers and list the highest common factor.
The factors of 7403 are 1, 11, 673, 7403
The factors of 6997 are 1, 6997
The HCF of 7403,6997 is 1.
Lets's calculate GCF of 7403,6997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7403,6997 By Matching Biggest Common Factor Method
Now, list down the factors of 7403
:1,11,673,7403
Now, list down the factors of 6997
:1,6997
Greatest Common Factor
We found the factors 7403,6997 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,6997 is 1.
Lets's calculate LCM of 529,4097
Given numbers has no common factors except 1. So, there LCM is their product i.e 2167313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2167313
Therefore, the GCF of Fractions 7403/529,6997/4097 is 1/2167313
Least Common Multiple of 529,4097 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 529,4097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,4097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,4097) x common factors =1 x 1 = 1
LCM(529,4097) = ( 529 × 4097 ) / 1
LCM(529,4097) = 2167313 / 1
LCM(529,4097) = 2167313
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FAQs on GCF of Fractions of 7403/529, 6997/4097
1. What is the HCF of 7403,6997?
The HCF of 7403,6997 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 7403/529, 6997/4097?
Answer: GCF of Numerators as per given numbers 7403/529, 6997/4097 is
GCF of Numerators i.e. for 7403,6997 is 1
LCM of denominators i.e. for 529,4097 is 2167313.
Thus, GCF of Fractions is 1/2167313.Finally, GCF of Fractions for 7403/529, 6997/4097 is 1/2167313.