GCF of 9850/864, 8169/3361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9850/864, 8169/3361 i.e 1/2903904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9850/864, 8169/3361.
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 9850/864,8169/3361?
Given fractions are 9850/864,8169/3361
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 9850/864,8169/3361, numerators are 9850,8169
Denominators are 864,3361
The GCF of 9850,8169 is 1 .
LCM of 864,3361 is 2903904.
The greatest common factor of 9850/864,8169/3361 = [GCF of 9850,8169]/[LCM of 864,3361]= 1/2903904
Therefore, the GCF of 9850/864,8169/3361 is 1/2903904.
To find the highest common factor of 9850,8169, we have to find the factors of both numbers and list the highest common factor.
The factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The HCF of 9850,8169 is 1.
Lets's calculate GCF of 9850,8169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9850,8169 By Matching Biggest Common Factor Method
Now, list down the factors of 9850
:1,2,5,10,25,50,197,394,985,1970,4925,9850
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Greatest Common Factor
We found the factors 9850,8169 . The biggest common factor number is the GCF number.
So the greatest common factor 9850,8169 is 1.
Lets's calculate LCM of 864,3361
Given numbers has no common factors except 1. So, there LCM is their product i.e 2903904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2903904
Therefore, the GCF of Fractions 9850/864,8169/3361 is 1/2903904
Least Common Multiple of 864,3361 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 864,3361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,3361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,3361) x common factors =1 x 1 = 1
LCM(864,3361) = ( 864 × 3361 ) / 1
LCM(864,3361) = 2903904 / 1
LCM(864,3361) = 2903904
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9850/864, 8169/3361
1. What is the HCF of 9850,8169?
The HCF of 9850,8169 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 9850/864, 8169/3361?
Answer: GCF of Numerators as per given numbers 9850/864, 8169/3361 is
GCF of Numerators i.e. for 9850,8169 is 1
LCM of denominators i.e. for 864,3361 is 2903904.
Thus, GCF of Fractions is 1/2903904.Finally, GCF of Fractions for 9850/864, 8169/3361 is 1/2903904.