GCF of 7831/542, 6518/2206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7831/542, 6518/2206 i.e 1/597826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7831/542, 6518/2206.
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 7831/542,6518/2206?
Given fractions are 7831/542,6518/2206
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 7831/542,6518/2206, numerators are 7831,6518
Denominators are 542,2206
The GCF of 7831,6518 is 1 .
LCM of 542,2206 is 597826.
The greatest common factor of 7831/542,6518/2206 = [GCF of 7831,6518]/[LCM of 542,2206]= 1/597826
Therefore, the GCF of 7831/542,6518/2206 is 1/597826.
To find the highest common factor of 7831,6518, we have to find the factors of both numbers and list the highest common factor.
The factors of 7831 are 1, 41, 191, 7831
The factors of 6518 are 1, 2, 3259, 6518
The HCF of 7831,6518 is 1.
Lets's calculate GCF of 7831,6518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7831,6518 By Matching Biggest Common Factor Method
Now, list down the factors of 7831
:1,41,191,7831
Now, list down the factors of 6518
:1,2,3259,6518
Greatest Common Factor
We found the factors 7831,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 7831,6518 is 1.
Lets's calculate LCM of 542,2206
| 2 | 542, 2206 |
| 271, 1103 |
∴ So the LCM of the given numbers is 2 x 271 x 1103 = 597826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597826
Therefore, the GCF of Fractions 7831/542,6518/2206 is 1/597826
Least Common Multiple of 542,2206 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 542,2206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,2206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,2206) x common factors =2 x 1 = 2
LCM(542,2206) = ( 542 × 2206 ) / 2
LCM(542,2206) = 1195652 / 2
LCM(542,2206) = 597826
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FAQs on GCF of Fractions of 7831/542, 6518/2206
1. What is the HCF of 7831,6518?
The HCF of 7831,6518 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 7831/542, 6518/2206?
Answer: GCF of Numerators as per given numbers 7831/542, 6518/2206 is
GCF of Numerators i.e. for 7831,6518 is 1
LCM of denominators i.e. for 542,2206 is 597826.
Thus, GCF of Fractions is 1/597826.Finally, GCF of Fractions for 7831/542, 6518/2206 is 1/597826.