GCF of 4343/723, 7290/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4343/723, 7290/578 i.e 1/417894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4343/723, 7290/578.
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 4343/723,7290/578?
Given fractions are 4343/723,7290/578
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 4343/723,7290/578, numerators are 4343,7290
Denominators are 723,578
The GCF of 4343,7290 is 1 .
LCM of 723,578 is 417894.
The greatest common factor of 4343/723,7290/578 = [GCF of 4343,7290]/[LCM of 723,578]= 1/417894
Therefore, the GCF of 4343/723,7290/578 is 1/417894.
To find the highest common factor of 4343,7290, we have to find the factors of both numbers and list the highest common factor.
The factors of 4343 are 1, 43, 101, 4343
The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290
The HCF of 4343,7290 is 1.
Lets's calculate GCF of 4343,7290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4343,7290 By Matching Biggest Common Factor Method
Now, list down the factors of 4343
:1,43,101,4343
Now, list down the factors of 7290
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Greatest Common Factor
We found the factors 4343,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 4343,7290 is 1.
Lets's calculate LCM of 723,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 417894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417894
Therefore, the GCF of Fractions 4343/723,7290/578 is 1/417894
Least Common Multiple of 723,578 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 723,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,578) x common factors =1 x 1 = 1
LCM(723,578) = ( 723 × 578 ) / 1
LCM(723,578) = 417894 / 1
LCM(723,578) = 417894
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FAQs on GCF of Fractions of 4343/723, 7290/578
1. What is the HCF of 4343,7290?
The HCF of 4343,7290 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 4343/723, 7290/578?
Answer: GCF of Numerators as per given numbers 4343/723, 7290/578 is
GCF of Numerators i.e. for 4343,7290 is 1
LCM of denominators i.e. for 723,578 is 417894.
Thus, GCF of Fractions is 1/417894.Finally, GCF of Fractions for 4343/723, 7290/578 is 1/417894.