GCF of 7045/529, 8803/6373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7045/529, 8803/6373 i.e 1/3371317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7045/529, 8803/6373.
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 7045/529,8803/6373?
Given fractions are 7045/529,8803/6373
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 7045/529,8803/6373, numerators are 7045,8803
Denominators are 529,6373
The GCF of 7045,8803 is 1 .
LCM of 529,6373 is 3371317.
The greatest common factor of 7045/529,8803/6373 = [GCF of 7045,8803]/[LCM of 529,6373]= 1/3371317
Therefore, the GCF of 7045/529,8803/6373 is 1/3371317.
To find the highest common factor of 7045,8803, we have to find the factors of both numbers and list the highest common factor.
The factors of 7045 are 1, 5, 1409, 7045
The factors of 8803 are 1, 8803
The HCF of 7045,8803 is 1.
Lets's calculate GCF of 7045,8803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7045,8803 By Matching Biggest Common Factor Method
Now, list down the factors of 7045
:1,5,1409,7045
Now, list down the factors of 8803
:1,8803
Greatest Common Factor
We found the factors 7045,8803 . The biggest common factor number is the GCF number.
So the greatest common factor 7045,8803 is 1.
Lets's calculate LCM of 529,6373
Given numbers has no common factors except 1. So, there LCM is their product i.e 3371317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3371317
Therefore, the GCF of Fractions 7045/529,8803/6373 is 1/3371317
Least Common Multiple of 529,6373 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 529,6373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,6373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,6373) x common factors =1 x 1 = 1
LCM(529,6373) = ( 529 × 6373 ) / 1
LCM(529,6373) = 3371317 / 1
LCM(529,6373) = 3371317
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FAQs on GCF of Fractions of 7045/529, 8803/6373
1. What is the HCF of 7045,8803?
The HCF of 7045,8803 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 7045/529, 8803/6373?
Answer: GCF of Numerators as per given numbers 7045/529, 8803/6373 is
GCF of Numerators i.e. for 7045,8803 is 1
LCM of denominators i.e. for 529,6373 is 3371317.
Thus, GCF of Fractions is 1/3371317.Finally, GCF of Fractions for 7045/529, 8803/6373 is 1/3371317.