GCF of 4097/809, 5382/8889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4097/809, 5382/8889 i.e 1/7191201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4097/809, 5382/8889.
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 4097/809,5382/8889?
Given fractions are 4097/809,5382/8889
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 4097/809,5382/8889, numerators are 4097,5382
Denominators are 809,8889
The GCF of 4097,5382 is 1 .
LCM of 809,8889 is 7191201.
The greatest common factor of 4097/809,5382/8889 = [GCF of 4097,5382]/[LCM of 809,8889]= 1/7191201
Therefore, the GCF of 4097/809,5382/8889 is 1/7191201.
To find the highest common factor of 4097,5382, we have to find the factors of both numbers and list the highest common factor.
The factors of 4097 are 1, 17, 241, 4097
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The HCF of 4097,5382 is 1.
Lets's calculate GCF of 4097,5382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4097,5382 By Matching Biggest Common Factor Method
Now, list down the factors of 4097
:1,17,241,4097
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 4097,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 4097,5382 is 1.
Lets's calculate LCM of 809,8889
Given numbers has no common factors except 1. So, there LCM is their product i.e 7191201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7191201
Therefore, the GCF of Fractions 4097/809,5382/8889 is 1/7191201
Least Common Multiple of 809,8889 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 809,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,8889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,8889) x common factors =1 x 1 = 1
LCM(809,8889) = ( 809 × 8889 ) / 1
LCM(809,8889) = 7191201 / 1
LCM(809,8889) = 7191201
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FAQs on GCF of Fractions of 4097/809, 5382/8889
1. What is the HCF of 4097,5382?
The HCF of 4097,5382 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 4097/809, 5382/8889?
Answer: GCF of Numerators as per given numbers 4097/809, 5382/8889 is
GCF of Numerators i.e. for 4097,5382 is 1
LCM of denominators i.e. for 809,8889 is 7191201.
Thus, GCF of Fractions is 1/7191201.Finally, GCF of Fractions for 4097/809, 5382/8889 is 1/7191201.