GCF of 8443/725, 7891/3801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8443/725, 7891/3801 i.e 1/2755725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8443/725, 7891/3801.
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 8443/725,7891/3801?
Given fractions are 8443/725,7891/3801
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 8443/725,7891/3801, numerators are 8443,7891
Denominators are 725,3801
The GCF of 8443,7891 is 1 .
LCM of 725,3801 is 2755725.
The greatest common factor of 8443/725,7891/3801 = [GCF of 8443,7891]/[LCM of 725,3801]= 1/2755725
Therefore, the GCF of 8443/725,7891/3801 is 1/2755725.
To find the highest common factor of 8443,7891, we have to find the factors of both numbers and list the highest common factor.
The factors of 8443 are 1, 8443
The factors of 7891 are 1, 13, 607, 7891
The HCF of 8443,7891 is 1.
Lets's calculate GCF of 8443,7891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8443,7891 By Matching Biggest Common Factor Method
Now, list down the factors of 8443
:1,8443
Now, list down the factors of 7891
:1,13,607,7891
Greatest Common Factor
We found the factors 8443,7891 . The biggest common factor number is the GCF number.
So the greatest common factor 8443,7891 is 1.
Lets's calculate LCM of 725,3801
Given numbers has no common factors except 1. So, there LCM is their product i.e 2755725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2755725
Therefore, the GCF of Fractions 8443/725,7891/3801 is 1/2755725
Least Common Multiple of 725,3801 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 725,3801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,3801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,3801) x common factors =1 x 1 = 1
LCM(725,3801) = ( 725 × 3801 ) / 1
LCM(725,3801) = 2755725 / 1
LCM(725,3801) = 2755725
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FAQs on GCF of Fractions of 8443/725, 7891/3801
1. What is the HCF of 8443,7891?
The HCF of 8443,7891 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 8443/725, 7891/3801?
Answer: GCF of Numerators as per given numbers 8443/725, 7891/3801 is
GCF of Numerators i.e. for 8443,7891 is 1
LCM of denominators i.e. for 725,3801 is 2755725.
Thus, GCF of Fractions is 1/2755725.Finally, GCF of Fractions for 8443/725, 7891/3801 is 1/2755725.