GCF of 1396/387, 9185/9704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1396/387, 9185/9704 i.e 1/3755448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1396/387, 9185/9704.
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 1396/387,9185/9704?
Given fractions are 1396/387,9185/9704
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 1396/387,9185/9704, numerators are 1396,9185
Denominators are 387,9704
The GCF of 1396,9185 is 1 .
LCM of 387,9704 is 3755448.
The greatest common factor of 1396/387,9185/9704 = [GCF of 1396,9185]/[LCM of 387,9704]= 1/3755448
Therefore, the GCF of 1396/387,9185/9704 is 1/3755448.
To find the highest common factor of 1396,9185, we have to find the factors of both numbers and list the highest common factor.
The factors of 1396 are 1, 2, 4, 349, 698, 1396
The factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185
The HCF of 1396,9185 is 1.
Lets's calculate GCF of 1396,9185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1396,9185 By Matching Biggest Common Factor Method
Now, list down the factors of 1396
:1,2,4,349,698,1396
Now, list down the factors of 9185
:1,5,11,55,167,835,1837,9185
Greatest Common Factor
We found the factors 1396,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 1396,9185 is 1.
Lets's calculate LCM of 387,9704
Given numbers has no common factors except 1. So, there LCM is their product i.e 3755448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3755448
Therefore, the GCF of Fractions 1396/387,9185/9704 is 1/3755448
Least Common Multiple of 387,9704 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 387,9704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,9704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,9704) x common factors =1 x 1 = 1
LCM(387,9704) = ( 387 × 9704 ) / 1
LCM(387,9704) = 3755448 / 1
LCM(387,9704) = 3755448
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1396/387, 9185/9704
1. What is the HCF of 1396,9185?
The HCF of 1396,9185 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 1396/387, 9185/9704?
Answer: GCF of Numerators as per given numbers 1396/387, 9185/9704 is
GCF of Numerators i.e. for 1396,9185 is 1
LCM of denominators i.e. for 387,9704 is 3755448.
Thus, GCF of Fractions is 1/3755448.Finally, GCF of Fractions for 1396/387, 9185/9704 is 1/3755448.