GCF of 8445/825, 1804/7013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8445/825, 1804/7013 i.e 1/5785725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8445/825, 1804/7013.
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 8445/825,1804/7013?
Given fractions are 8445/825,1804/7013
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 8445/825,1804/7013, numerators are 8445,1804
Denominators are 825,7013
The GCF of 8445,1804 is 1 .
LCM of 825,7013 is 5785725.
The greatest common factor of 8445/825,1804/7013 = [GCF of 8445,1804]/[LCM of 825,7013]= 1/5785725
Therefore, the GCF of 8445/825,1804/7013 is 1/5785725.
To find the highest common factor of 8445,1804, we have to find the factors of both numbers and list the highest common factor.
The factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445
The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
The HCF of 8445,1804 is 1.
Lets's calculate GCF of 8445,1804
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8445,1804 By Matching Biggest Common Factor Method
Now, list down the factors of 8445
:1,3,5,15,563,1689,2815,8445
Now, list down the factors of 1804
:1,2,4,11,22,41,44,82,164,451,902,1804
Greatest Common Factor
We found the factors 8445,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 8445,1804 is 1.
Lets's calculate LCM of 825,7013
Given numbers has no common factors except 1. So, there LCM is their product i.e 5785725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5785725
Therefore, the GCF of Fractions 8445/825,1804/7013 is 1/5785725
Least Common Multiple of 825,7013 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 825,7013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,7013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,7013) x common factors =1 x 1 = 1
LCM(825,7013) = ( 825 × 7013 ) / 1
LCM(825,7013) = 5785725 / 1
LCM(825,7013) = 5785725
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FAQs on GCF of Fractions of 8445/825, 1804/7013
1. What is the HCF of 8445,1804?
The HCF of 8445,1804 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 8445/825, 1804/7013?
Answer: GCF of Numerators as per given numbers 8445/825, 1804/7013 is
GCF of Numerators i.e. for 8445,1804 is 1
LCM of denominators i.e. for 825,7013 is 5785725.
Thus, GCF of Fractions is 1/5785725.Finally, GCF of Fractions for 8445/825, 1804/7013 is 1/5785725.