GCF of 6158/334, 9723/1709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6158/334, 9723/1709 i.e 1/570806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6158/334, 9723/1709.
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 6158/334,9723/1709?
Given fractions are 6158/334,9723/1709
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 6158/334,9723/1709, numerators are 6158,9723
Denominators are 334,1709
The GCF of 6158,9723 is 1 .
LCM of 334,1709 is 570806.
The greatest common factor of 6158/334,9723/1709 = [GCF of 6158,9723]/[LCM of 334,1709]= 1/570806
Therefore, the GCF of 6158/334,9723/1709 is 1/570806.
To find the highest common factor of 6158,9723, we have to find the factors of both numbers and list the highest common factor.
The factors of 6158 are 1, 2, 3079, 6158
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The HCF of 6158,9723 is 1.
Lets's calculate GCF of 6158,9723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6158,9723 By Matching Biggest Common Factor Method
Now, list down the factors of 6158
:1,2,3079,6158
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors 6158,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 6158,9723 is 1.
Lets's calculate LCM of 334,1709
Given numbers has no common factors except 1. So, there LCM is their product i.e 570806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/570806
Therefore, the GCF of Fractions 6158/334,9723/1709 is 1/570806
Least Common Multiple of 334,1709 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 334,1709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,1709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,1709) x common factors =1 x 1 = 1
LCM(334,1709) = ( 334 × 1709 ) / 1
LCM(334,1709) = 570806 / 1
LCM(334,1709) = 570806
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FAQs on GCF of Fractions of 6158/334, 9723/1709
1. What is the HCF of 6158,9723?
The HCF of 6158,9723 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 6158/334, 9723/1709?
Answer: GCF of Numerators as per given numbers 6158/334, 9723/1709 is
GCF of Numerators i.e. for 6158,9723 is 1
LCM of denominators i.e. for 334,1709 is 570806.
Thus, GCF of Fractions is 1/570806.Finally, GCF of Fractions for 6158/334, 9723/1709 is 1/570806.