GCF of 8090/428, 6839/5486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8090/428, 6839/5486 i.e 1/1174004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8090/428, 6839/5486.
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 8090/428,6839/5486?
Given fractions are 8090/428,6839/5486
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 8090/428,6839/5486, numerators are 8090,6839
Denominators are 428,5486
The GCF of 8090,6839 is 1 .
LCM of 428,5486 is 1174004.
The greatest common factor of 8090/428,6839/5486 = [GCF of 8090,6839]/[LCM of 428,5486]= 1/1174004
Therefore, the GCF of 8090/428,6839/5486 is 1/1174004.
To find the highest common factor of 8090,6839, we have to find the factors of both numbers and list the highest common factor.
The factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090
The factors of 6839 are 1, 7, 977, 6839
The HCF of 8090,6839 is 1.
Lets's calculate GCF of 8090,6839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8090,6839 By Matching Biggest Common Factor Method
Now, list down the factors of 8090
:1,2,5,10,809,1618,4045,8090
Now, list down the factors of 6839
:1,7,977,6839
Greatest Common Factor
We found the factors 8090,6839 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,6839 is 1.
Lets's calculate LCM of 428,5486
| 2 | 428, 5486 |
| 214, 2743 |
∴ So the LCM of the given numbers is 2 x 214 x 2743 = 1174004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1174004
Therefore, the GCF of Fractions 8090/428,6839/5486 is 1/1174004
Least Common Multiple of 428,5486 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 428,5486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,5486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,5486) x common factors =2 x 1 = 2
LCM(428,5486) = ( 428 × 5486 ) / 2
LCM(428,5486) = 2348008 / 2
LCM(428,5486) = 1174004
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8090/428, 6839/5486
1. What is the HCF of 8090,6839?
The HCF of 8090,6839 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 8090/428, 6839/5486?
Answer: GCF of Numerators as per given numbers 8090/428, 6839/5486 is
GCF of Numerators i.e. for 8090,6839 is 1
LCM of denominators i.e. for 428,5486 is 1174004.
Thus, GCF of Fractions is 1/1174004.Finally, GCF of Fractions for 8090/428, 6839/5486 is 1/1174004.