GCF of 8859/771, 9955/2437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8859/771, 9955/2437 i.e 1/1878927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8859/771, 9955/2437.
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 8859/771,9955/2437?
Given fractions are 8859/771,9955/2437
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 8859/771,9955/2437, numerators are 8859,9955
Denominators are 771,2437
The GCF of 8859,9955 is 1 .
LCM of 771,2437 is 1878927.
The greatest common factor of 8859/771,9955/2437 = [GCF of 8859,9955]/[LCM of 771,2437]= 1/1878927
Therefore, the GCF of 8859/771,9955/2437 is 1/1878927.
To find the highest common factor of 8859,9955, we have to find the factors of both numbers and list the highest common factor.
The factors of 8859 are 1, 3, 2953, 8859
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The HCF of 8859,9955 is 1.
Lets's calculate GCF of 8859,9955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8859,9955 By Matching Biggest Common Factor Method
Now, list down the factors of 8859
:1,3,2953,8859
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors 8859,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 8859,9955 is 1.
Lets's calculate LCM of 771,2437
Given numbers has no common factors except 1. So, there LCM is their product i.e 1878927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1878927
Therefore, the GCF of Fractions 8859/771,9955/2437 is 1/1878927
Least Common Multiple of 771,2437 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 771,2437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,2437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,2437) x common factors =1 x 1 = 1
LCM(771,2437) = ( 771 × 2437 ) / 1
LCM(771,2437) = 1878927 / 1
LCM(771,2437) = 1878927
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FAQs on GCF of Fractions of 8859/771, 9955/2437
1. What is the HCF of 8859,9955?
The HCF of 8859,9955 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 8859/771, 9955/2437?
Answer: GCF of Numerators as per given numbers 8859/771, 9955/2437 is
GCF of Numerators i.e. for 8859,9955 is 1
LCM of denominators i.e. for 771,2437 is 1878927.
Thus, GCF of Fractions is 1/1878927.Finally, GCF of Fractions for 8859/771, 9955/2437 is 1/1878927.