GCF of 8159/632, 3977/8170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8159/632, 3977/8170 i.e 41/2581720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8159/632, 3977/8170.
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 8159/632,3977/8170?
Given fractions are 8159/632,3977/8170
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 8159/632,3977/8170, numerators are 8159,3977
Denominators are 632,8170
The GCF of 8159,3977 is 41 .
LCM of 632,8170 is 2581720.
The greatest common factor of 8159/632,3977/8170 = [GCF of 8159,3977]/[LCM of 632,8170]= 41/2581720
Therefore, the GCF of 8159/632,3977/8170 is 41/2581720.
To find the highest common factor of 8159,3977, we have to find the factors of both numbers and list the highest common factor.
The factors of 8159 are 1, 41, 199, 8159
The factors of 3977 are 1, 41, 97, 3977
The HCF of 8159,3977 is 41.
Lets's calculate GCF of 8159,3977
| 41 | 8159, 3977 |
| 199, 97 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 8159,3977 By Matching Biggest Common Factor Method
Now, list down the factors of 8159
:1,41,199,8159
Now, list down the factors of 3977
:1,41,97,3977
Greatest Common Factor
We found the factors 8159,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 8159,3977 is 41.
Lets's calculate LCM of 632,8170
| 2 | 632, 8170 |
| 316, 4085 |
∴ So the LCM of the given numbers is 2 x 316 x 4085 = 2581720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2581720
Therefore, the GCF of Fractions 8159/632,3977/8170 is 41/2581720
Least Common Multiple of 632,8170 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 632,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,8170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,8170) x common factors =2 x 1 = 2
LCM(632,8170) = ( 632 × 8170 ) / 2
LCM(632,8170) = 5163440 / 2
LCM(632,8170) = 2581720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8159/632, 3977/8170
1. What is the HCF of 8159,3977?
The HCF of 8159,3977 is 41
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 8159/632, 3977/8170?
Answer: GCF of Numerators as per given numbers 8159/632, 3977/8170 is
GCF of Numerators i.e. for 8159,3977 is 41
LCM of denominators i.e. for 632,8170 is 2581720.
Thus, GCF of Fractions is 41/2581720.Finally, GCF of Fractions for 8159/632, 3977/8170 is 41/2581720.