GCF of 5179/626, 8865/1761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5179/626, 8865/1761 i.e 1/1102386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5179/626, 8865/1761.
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 5179/626,8865/1761?
Given fractions are 5179/626,8865/1761
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 5179/626,8865/1761, numerators are 5179,8865
Denominators are 626,1761
The GCF of 5179,8865 is 1 .
LCM of 626,1761 is 1102386.
The greatest common factor of 5179/626,8865/1761 = [GCF of 5179,8865]/[LCM of 626,1761]= 1/1102386
Therefore, the GCF of 5179/626,8865/1761 is 1/1102386.
To find the highest common factor of 5179,8865, we have to find the factors of both numbers and list the highest common factor.
The factors of 5179 are 1, 5179
The factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865
The HCF of 5179,8865 is 1.
Lets's calculate GCF of 5179,8865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5179,8865 By Matching Biggest Common Factor Method
Now, list down the factors of 5179
:1,5179
Now, list down the factors of 8865
:1,3,5,9,15,45,197,591,985,1773,2955,8865
Greatest Common Factor
We found the factors 5179,8865 . The biggest common factor number is the GCF number.
So the greatest common factor 5179,8865 is 1.
Lets's calculate LCM of 626,1761
Given numbers has no common factors except 1. So, there LCM is their product i.e 1102386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1102386
Therefore, the GCF of Fractions 5179/626,8865/1761 is 1/1102386
Least Common Multiple of 626,1761 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 626,1761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,1761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,1761) x common factors =1 x 1 = 1
LCM(626,1761) = ( 626 × 1761 ) / 1
LCM(626,1761) = 1102386 / 1
LCM(626,1761) = 1102386
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FAQs on GCF of Fractions of 5179/626, 8865/1761
1. What is the HCF of 5179,8865?
The HCF of 5179,8865 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 5179/626, 8865/1761?
Answer: GCF of Numerators as per given numbers 5179/626, 8865/1761 is
GCF of Numerators i.e. for 5179,8865 is 1
LCM of denominators i.e. for 626,1761 is 1102386.
Thus, GCF of Fractions is 1/1102386.Finally, GCF of Fractions for 5179/626, 8865/1761 is 1/1102386.