GCF of 8409/334, 1712/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8409/334, 1712/141 i.e 1/47094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8409/334, 1712/141.
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 8409/334,1712/141?
Given fractions are 8409/334,1712/141
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 8409/334,1712/141, numerators are 8409,1712
Denominators are 334,141
The GCF of 8409,1712 is 1 .
LCM of 334,141 is 47094.
The greatest common factor of 8409/334,1712/141 = [GCF of 8409,1712]/[LCM of 334,141]= 1/47094
Therefore, the GCF of 8409/334,1712/141 is 1/47094.
To find the highest common factor of 8409,1712, we have to find the factors of both numbers and list the highest common factor.
The factors of 8409 are 1, 3, 2803, 8409
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The HCF of 8409,1712 is 1.
Lets's calculate GCF of 8409,1712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8409,1712 By Matching Biggest Common Factor Method
Now, list down the factors of 8409
:1,3,2803,8409
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Greatest Common Factor
We found the factors 8409,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 8409,1712 is 1.
Lets's calculate LCM of 334,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 47094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47094
Therefore, the GCF of Fractions 8409/334,1712/141 is 1/47094
Least Common Multiple of 334,141 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 334,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,141) x common factors =1 x 1 = 1
LCM(334,141) = ( 334 × 141 ) / 1
LCM(334,141) = 47094 / 1
LCM(334,141) = 47094
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8409/334, 1712/141
1. What is the HCF of 8409,1712?
The HCF of 8409,1712 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 8409/334, 1712/141?
Answer: GCF of Numerators as per given numbers 8409/334, 1712/141 is
GCF of Numerators i.e. for 8409,1712 is 1
LCM of denominators i.e. for 334,141 is 47094.
Thus, GCF of Fractions is 1/47094.Finally, GCF of Fractions for 8409/334, 1712/141 is 1/47094.