GCF of 5875/806, 9054/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5875/806, 9054/259 i.e 1/208754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5875/806, 9054/259.
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 5875/806,9054/259?
Given fractions are 5875/806,9054/259
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 5875/806,9054/259, numerators are 5875,9054
Denominators are 806,259
The GCF of 5875,9054 is 1 .
LCM of 806,259 is 208754.
The greatest common factor of 5875/806,9054/259 = [GCF of 5875,9054]/[LCM of 806,259]= 1/208754
Therefore, the GCF of 5875/806,9054/259 is 1/208754.
To find the highest common factor of 5875,9054, we have to find the factors of both numbers and list the highest common factor.
The factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875
The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054
The HCF of 5875,9054 is 1.
Lets's calculate GCF of 5875,9054
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5875,9054 By Matching Biggest Common Factor Method
Now, list down the factors of 5875
:1,5,25,47,125,235,1175,5875
Now, list down the factors of 9054
:1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors 5875,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 5875,9054 is 1.
Lets's calculate LCM of 806,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 208754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208754
Therefore, the GCF of Fractions 5875/806,9054/259 is 1/208754
Least Common Multiple of 806,259 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 806,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,259) x common factors =1 x 1 = 1
LCM(806,259) = ( 806 × 259 ) / 1
LCM(806,259) = 208754 / 1
LCM(806,259) = 208754
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FAQs on GCF of Fractions of 5875/806, 9054/259
1. What is the HCF of 5875,9054?
The HCF of 5875,9054 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 5875/806, 9054/259?
Answer: GCF of Numerators as per given numbers 5875/806, 9054/259 is
GCF of Numerators i.e. for 5875,9054 is 1
LCM of denominators i.e. for 806,259 is 208754.
Thus, GCF of Fractions is 1/208754.Finally, GCF of Fractions for 5875/806, 9054/259 is 1/208754.