GCF of 3626/146, 7349/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3626/146, 7349/723 i.e 1/105558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3626/146, 7349/723.
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 3626/146,7349/723?
Given fractions are 3626/146,7349/723
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 3626/146,7349/723, numerators are 3626,7349
Denominators are 146,723
The GCF of 3626,7349 is 1 .
LCM of 146,723 is 105558.
The greatest common factor of 3626/146,7349/723 = [GCF of 3626,7349]/[LCM of 146,723]= 1/105558
Therefore, the GCF of 3626/146,7349/723 is 1/105558.
To find the highest common factor of 3626,7349, we have to find the factors of both numbers and list the highest common factor.
The factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626
The factors of 7349 are 1, 7349
The HCF of 3626,7349 is 1.
Lets's calculate GCF of 3626,7349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3626,7349 By Matching Biggest Common Factor Method
Now, list down the factors of 3626
:1,2,7,14,37,49,74,98,259,518,1813,3626
Now, list down the factors of 7349
:1,7349
Greatest Common Factor
We found the factors 3626,7349 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,7349 is 1.
Lets's calculate LCM of 146,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 105558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105558
Therefore, the GCF of Fractions 3626/146,7349/723 is 1/105558
Least Common Multiple of 146,723 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 146,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,723) x common factors =1 x 1 = 1
LCM(146,723) = ( 146 × 723 ) / 1
LCM(146,723) = 105558 / 1
LCM(146,723) = 105558
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FAQs on GCF of Fractions of 3626/146, 7349/723
1. What is the HCF of 3626,7349?
The HCF of 3626,7349 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 3626/146, 7349/723?
Answer: GCF of Numerators as per given numbers 3626/146, 7349/723 is
GCF of Numerators i.e. for 3626,7349 is 1
LCM of denominators i.e. for 146,723 is 105558.
Thus, GCF of Fractions is 1/105558.Finally, GCF of Fractions for 3626/146, 7349/723 is 1/105558.