GCF of 6159/723, 8499/5931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6159/723, 8499/5931 i.e 3/1429371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6159/723, 8499/5931.
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 6159/723,8499/5931?
Given fractions are 6159/723,8499/5931
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 6159/723,8499/5931, numerators are 6159,8499
Denominators are 723,5931
The GCF of 6159,8499 is 3 .
LCM of 723,5931 is 1429371.
The greatest common factor of 6159/723,8499/5931 = [GCF of 6159,8499]/[LCM of 723,5931]= 3/1429371
Therefore, the GCF of 6159/723,8499/5931 is 3/1429371.
To find the highest common factor of 6159,8499, we have to find the factors of both numbers and list the highest common factor.
The factors of 6159 are 1, 3, 2053, 6159
The factors of 8499 are 1, 3, 2833, 8499
The HCF of 6159,8499 is 3.
Lets's calculate GCF of 6159,8499
| 3 | 6159, 8499 |
| 2053, 2833 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6159,8499 By Matching Biggest Common Factor Method
Now, list down the factors of 6159
:1,3,2053,6159
Now, list down the factors of 8499
:1,3,2833,8499
Greatest Common Factor
We found the factors 6159,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 6159,8499 is 3.
Lets's calculate LCM of 723,5931
| 3 | 723, 5931 |
| 241, 1977 |
∴ So the LCM of the given numbers is 3 x 241 x 1977 = 1429371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1429371
Therefore, the GCF of Fractions 6159/723,8499/5931 is 3/1429371
Least Common Multiple of 723,5931 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 723,5931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,5931) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,5931) x common factors =3 x 1 = 3
LCM(723,5931) = ( 723 × 5931 ) / 3
LCM(723,5931) = 4288113 / 3
LCM(723,5931) = 1429371
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FAQs on GCF of Fractions of 6159/723, 8499/5931
1. What is the HCF of 6159,8499?
The HCF of 6159,8499 is 3
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 6159/723, 8499/5931?
Answer: GCF of Numerators as per given numbers 6159/723, 8499/5931 is
GCF of Numerators i.e. for 6159,8499 is 3
LCM of denominators i.e. for 723,5931 is 1429371.
Thus, GCF of Fractions is 3/1429371.Finally, GCF of Fractions for 6159/723, 8499/5931 is 3/1429371.