GCF of 9239/340, 4142/5471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9239/340, 4142/5471 i.e 1/1860140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9239/340, 4142/5471.
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 9239/340,4142/5471?
Given fractions are 9239/340,4142/5471
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 9239/340,4142/5471, numerators are 9239,4142
Denominators are 340,5471
The GCF of 9239,4142 is 1 .
LCM of 340,5471 is 1860140.
The greatest common factor of 9239/340,4142/5471 = [GCF of 9239,4142]/[LCM of 340,5471]= 1/1860140
Therefore, the GCF of 9239/340,4142/5471 is 1/1860140.
To find the highest common factor of 9239,4142, we have to find the factors of both numbers and list the highest common factor.
The factors of 9239 are 1, 9239
The factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142
The HCF of 9239,4142 is 1.
Lets's calculate GCF of 9239,4142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9239,4142 By Matching Biggest Common Factor Method
Now, list down the factors of 9239
:1,9239
Now, list down the factors of 4142
:1,2,19,38,109,218,2071,4142
Greatest Common Factor
We found the factors 9239,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 9239,4142 is 1.
Lets's calculate LCM of 340,5471
Given numbers has no common factors except 1. So, there LCM is their product i.e 1860140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1860140
Therefore, the GCF of Fractions 9239/340,4142/5471 is 1/1860140
Least Common Multiple of 340,5471 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 340,5471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,5471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,5471) x common factors =1 x 1 = 1
LCM(340,5471) = ( 340 × 5471 ) / 1
LCM(340,5471) = 1860140 / 1
LCM(340,5471) = 1860140
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FAQs on GCF of Fractions of 9239/340, 4142/5471
1. What is the HCF of 9239,4142?
The HCF of 9239,4142 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 9239/340, 4142/5471?
Answer: GCF of Numerators as per given numbers 9239/340, 4142/5471 is
GCF of Numerators i.e. for 9239,4142 is 1
LCM of denominators i.e. for 340,5471 is 1860140.
Thus, GCF of Fractions is 1/1860140.Finally, GCF of Fractions for 9239/340, 4142/5471 is 1/1860140.