GCF of 3079/418, 7161/8091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3079/418, 7161/8091 i.e 1/3382038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3079/418, 7161/8091.
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 3079/418,7161/8091?
Given fractions are 3079/418,7161/8091
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 3079/418,7161/8091, numerators are 3079,7161
Denominators are 418,8091
The GCF of 3079,7161 is 1 .
LCM of 418,8091 is 3382038.
The greatest common factor of 3079/418,7161/8091 = [GCF of 3079,7161]/[LCM of 418,8091]= 1/3382038
Therefore, the GCF of 3079/418,7161/8091 is 1/3382038.
To find the highest common factor of 3079,7161, we have to find the factors of both numbers and list the highest common factor.
The factors of 3079 are 1, 3079
The factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
The HCF of 3079,7161 is 1.
Lets's calculate GCF of 3079,7161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3079,7161 By Matching Biggest Common Factor Method
Now, list down the factors of 3079
:1,3079
Now, list down the factors of 7161
:1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors 3079,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 3079,7161 is 1.
Lets's calculate LCM of 418,8091
Given numbers has no common factors except 1. So, there LCM is their product i.e 3382038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3382038
Therefore, the GCF of Fractions 3079/418,7161/8091 is 1/3382038
Least Common Multiple of 418,8091 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 418,8091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,8091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,8091) x common factors =1 x 1 = 1
LCM(418,8091) = ( 418 × 8091 ) / 1
LCM(418,8091) = 3382038 / 1
LCM(418,8091) = 3382038
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3079/418, 7161/8091
1. What is the HCF of 3079,7161?
The HCF of 3079,7161 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 3079/418, 7161/8091?
Answer: GCF of Numerators as per given numbers 3079/418, 7161/8091 is
GCF of Numerators i.e. for 3079,7161 is 1
LCM of denominators i.e. for 418,8091 is 3382038.
Thus, GCF of Fractions is 1/3382038.Finally, GCF of Fractions for 3079/418, 7161/8091 is 1/3382038.