GCF of 3258/122, 7859/5729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3258/122, 7859/5729 i.e 1/698938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3258/122, 7859/5729.
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 3258/122,7859/5729?
Given fractions are 3258/122,7859/5729
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 3258/122,7859/5729, numerators are 3258,7859
Denominators are 122,5729
The GCF of 3258,7859 is 1 .
LCM of 122,5729 is 698938.
The greatest common factor of 3258/122,7859/5729 = [GCF of 3258,7859]/[LCM of 122,5729]= 1/698938
Therefore, the GCF of 3258/122,7859/5729 is 1/698938.
To find the highest common factor of 3258,7859, we have to find the factors of both numbers and list the highest common factor.
The factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
The factors of 7859 are 1, 29, 271, 7859
The HCF of 3258,7859 is 1.
Lets's calculate GCF of 3258,7859
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3258,7859 By Matching Biggest Common Factor Method
Now, list down the factors of 3258
:1,2,3,6,9,18,181,362,543,1086,1629,3258
Now, list down the factors of 7859
:1,29,271,7859
Greatest Common Factor
We found the factors 3258,7859 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,7859 is 1.
Lets's calculate LCM of 122,5729
Given numbers has no common factors except 1. So, there LCM is their product i.e 698938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698938
Therefore, the GCF of Fractions 3258/122,7859/5729 is 1/698938
Least Common Multiple of 122,5729 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 122,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,5729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,5729) x common factors =1 x 1 = 1
LCM(122,5729) = ( 122 × 5729 ) / 1
LCM(122,5729) = 698938 / 1
LCM(122,5729) = 698938
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FAQs on GCF of Fractions of 3258/122, 7859/5729
1. What is the HCF of 3258,7859?
The HCF of 3258,7859 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 3258/122, 7859/5729?
Answer: GCF of Numerators as per given numbers 3258/122, 7859/5729 is
GCF of Numerators i.e. for 3258,7859 is 1
LCM of denominators i.e. for 122,5729 is 698938.
Thus, GCF of Fractions is 1/698938.Finally, GCF of Fractions for 3258/122, 7859/5729 is 1/698938.