GCF of 8277/814, 2161/3145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8277/814, 2161/3145 i.e 1/69190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8277/814, 2161/3145.
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 8277/814,2161/3145?
Given fractions are 8277/814,2161/3145
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 8277/814,2161/3145, numerators are 8277,2161
Denominators are 814,3145
The GCF of 8277,2161 is 1 .
LCM of 814,3145 is 69190.
The greatest common factor of 8277/814,2161/3145 = [GCF of 8277,2161]/[LCM of 814,3145]= 1/69190
Therefore, the GCF of 8277/814,2161/3145 is 1/69190.
To find the highest common factor of 8277,2161, we have to find the factors of both numbers and list the highest common factor.
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The factors of 2161 are 1, 2161
The HCF of 8277,2161 is 1.
Lets's calculate GCF of 8277,2161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8277,2161 By Matching Biggest Common Factor Method
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Now, list down the factors of 2161
:1,2161
Greatest Common Factor
We found the factors 8277,2161 . The biggest common factor number is the GCF number.
So the greatest common factor 8277,2161 is 1.
Lets's calculate LCM of 814,3145
| 37 | 814, 3145 |
| 22, 85 |
∴ So the LCM of the given numbers is 37 x 22 x 85 = 69190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69190
Therefore, the GCF of Fractions 8277/814,2161/3145 is 1/69190
Least Common Multiple of 814,3145 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 814,3145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,3145) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(814,3145) x common factors =37 x 1 = 37
LCM(814,3145) = ( 814 × 3145 ) / 37
LCM(814,3145) = 2560030 / 37
LCM(814,3145) = 69190
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8277/814, 2161/3145
1. What is the HCF of 8277,2161?
The HCF of 8277,2161 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 8277/814, 2161/3145?
Answer: GCF of Numerators as per given numbers 8277/814, 2161/3145 is
GCF of Numerators i.e. for 8277,2161 is 1
LCM of denominators i.e. for 814,3145 is 69190.
Thus, GCF of Fractions is 1/69190.Finally, GCF of Fractions for 8277/814, 2161/3145 is 1/69190.