GCF of 8729/412, 9701/9155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8729/412, 9701/9155 i.e 1/3771860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8729/412, 9701/9155.
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 8729/412,9701/9155?
Given fractions are 8729/412,9701/9155
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 8729/412,9701/9155, numerators are 8729,9701
Denominators are 412,9155
The GCF of 8729,9701 is 1 .
LCM of 412,9155 is 3771860.
The greatest common factor of 8729/412,9701/9155 = [GCF of 8729,9701]/[LCM of 412,9155]= 1/3771860
Therefore, the GCF of 8729/412,9701/9155 is 1/3771860.
To find the highest common factor of 8729,9701, we have to find the factors of both numbers and list the highest common factor.
The factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729
The factors of 9701 are 1, 89, 109, 9701
The HCF of 8729,9701 is 1.
Lets's calculate GCF of 8729,9701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8729,9701 By Matching Biggest Common Factor Method
Now, list down the factors of 8729
:1,7,29,43,203,301,1247,8729
Now, list down the factors of 9701
:1,89,109,9701
Greatest Common Factor
We found the factors 8729,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 8729,9701 is 1.
Lets's calculate LCM of 412,9155
Given numbers has no common factors except 1. So, there LCM is their product i.e 3771860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3771860
Therefore, the GCF of Fractions 8729/412,9701/9155 is 1/3771860
Least Common Multiple of 412,9155 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 412,9155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,9155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,9155) x common factors =1 x 1 = 1
LCM(412,9155) = ( 412 × 9155 ) / 1
LCM(412,9155) = 3771860 / 1
LCM(412,9155) = 3771860
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FAQs on GCF of Fractions of 8729/412, 9701/9155
1. What is the HCF of 8729,9701?
The HCF of 8729,9701 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 8729/412, 9701/9155?
Answer: GCF of Numerators as per given numbers 8729/412, 9701/9155 is
GCF of Numerators i.e. for 8729,9701 is 1
LCM of denominators i.e. for 412,9155 is 3771860.
Thus, GCF of Fractions is 1/3771860.Finally, GCF of Fractions for 8729/412, 9701/9155 is 1/3771860.