GCF of 7682/395, 8885/3697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7682/395, 8885/3697 i.e 1/1460315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7682/395, 8885/3697.
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 7682/395,8885/3697?
Given fractions are 7682/395,8885/3697
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 7682/395,8885/3697, numerators are 7682,8885
Denominators are 395,3697
The GCF of 7682,8885 is 1 .
LCM of 395,3697 is 1460315.
The greatest common factor of 7682/395,8885/3697 = [GCF of 7682,8885]/[LCM of 395,3697]= 1/1460315
Therefore, the GCF of 7682/395,8885/3697 is 1/1460315.
To find the highest common factor of 7682,8885, we have to find the factors of both numbers and list the highest common factor.
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The factors of 8885 are 1, 5, 1777, 8885
The HCF of 7682,8885 is 1.
Lets's calculate GCF of 7682,8885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7682,8885 By Matching Biggest Common Factor Method
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Now, list down the factors of 8885
:1,5,1777,8885
Greatest Common Factor
We found the factors 7682,8885 . The biggest common factor number is the GCF number.
So the greatest common factor 7682,8885 is 1.
Lets's calculate LCM of 395,3697
Given numbers has no common factors except 1. So, there LCM is their product i.e 1460315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1460315
Therefore, the GCF of Fractions 7682/395,8885/3697 is 1/1460315
Least Common Multiple of 395,3697 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 395,3697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,3697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,3697) x common factors =1 x 1 = 1
LCM(395,3697) = ( 395 × 3697 ) / 1
LCM(395,3697) = 1460315 / 1
LCM(395,3697) = 1460315
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7682/395, 8885/3697
1. What is the HCF of 7682,8885?
The HCF of 7682,8885 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 7682/395, 8885/3697?
Answer: GCF of Numerators as per given numbers 7682/395, 8885/3697 is
GCF of Numerators i.e. for 7682,8885 is 1
LCM of denominators i.e. for 395,3697 is 1460315.
Thus, GCF of Fractions is 1/1460315.Finally, GCF of Fractions for 7682/395, 8885/3697 is 1/1460315.