GCF of 8086/831, 5465/5439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8086/831, 5465/5439 i.e 1/1506603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8086/831, 5465/5439.
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 8086/831,5465/5439?
Given fractions are 8086/831,5465/5439
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 8086/831,5465/5439, numerators are 8086,5465
Denominators are 831,5439
The GCF of 8086,5465 is 1 .
LCM of 831,5439 is 1506603.
The greatest common factor of 8086/831,5465/5439 = [GCF of 8086,5465]/[LCM of 831,5439]= 1/1506603
Therefore, the GCF of 8086/831,5465/5439 is 1/1506603.
To find the highest common factor of 8086,5465, we have to find the factors of both numbers and list the highest common factor.
The factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086
The factors of 5465 are 1, 5, 1093, 5465
The HCF of 8086,5465 is 1.
Lets's calculate GCF of 8086,5465
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8086,5465 By Matching Biggest Common Factor Method
Now, list down the factors of 8086
:1,2,13,26,311,622,4043,8086
Now, list down the factors of 5465
:1,5,1093,5465
Greatest Common Factor
We found the factors 8086,5465 . The biggest common factor number is the GCF number.
So the greatest common factor 8086,5465 is 1.
Lets's calculate LCM of 831,5439
| 3 | 831, 5439 |
| 277, 1813 |
∴ So the LCM of the given numbers is 3 x 277 x 1813 = 1506603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1506603
Therefore, the GCF of Fractions 8086/831,5465/5439 is 1/1506603
Least Common Multiple of 831,5439 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 831,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,5439) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,5439) x common factors =3 x 1 = 3
LCM(831,5439) = ( 831 × 5439 ) / 3
LCM(831,5439) = 4519809 / 3
LCM(831,5439) = 1506603
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FAQs on GCF of Fractions of 8086/831, 5465/5439
1. What is the HCF of 8086,5465?
The HCF of 8086,5465 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 8086/831, 5465/5439?
Answer: GCF of Numerators as per given numbers 8086/831, 5465/5439 is
GCF of Numerators i.e. for 8086,5465 is 1
LCM of denominators i.e. for 831,5439 is 1506603.
Thus, GCF of Fractions is 1/1506603.Finally, GCF of Fractions for 8086/831, 5465/5439 is 1/1506603.