GCF of 5201/230, 8119/7988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5201/230, 8119/7988 i.e 1/918620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5201/230, 8119/7988.
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 5201/230,8119/7988?
Given fractions are 5201/230,8119/7988
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 5201/230,8119/7988, numerators are 5201,8119
Denominators are 230,7988
The GCF of 5201,8119 is 1 .
LCM of 230,7988 is 918620.
The greatest common factor of 5201/230,8119/7988 = [GCF of 5201,8119]/[LCM of 230,7988]= 1/918620
Therefore, the GCF of 5201/230,8119/7988 is 1/918620.
To find the highest common factor of 5201,8119, we have to find the factors of both numbers and list the highest common factor.
The factors of 5201 are 1, 7, 743, 5201
The factors of 8119 are 1, 23, 353, 8119
The HCF of 5201,8119 is 1.
Lets's calculate GCF of 5201,8119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5201,8119 By Matching Biggest Common Factor Method
Now, list down the factors of 5201
:1,7,743,5201
Now, list down the factors of 8119
:1,23,353,8119
Greatest Common Factor
We found the factors 5201,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 5201,8119 is 1.
Lets's calculate LCM of 230,7988
| 2 | 230, 7988 |
| 115, 3994 |
∴ So the LCM of the given numbers is 2 x 115 x 3994 = 918620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918620
Therefore, the GCF of Fractions 5201/230,8119/7988 is 1/918620
Least Common Multiple of 230,7988 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 230,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,7988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,7988) x common factors =2 x 1 = 2
LCM(230,7988) = ( 230 × 7988 ) / 2
LCM(230,7988) = 1837240 / 2
LCM(230,7988) = 918620
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FAQs on GCF of Fractions of 5201/230, 8119/7988
1. What is the HCF of 5201,8119?
The HCF of 5201,8119 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 5201/230, 8119/7988?
Answer: GCF of Numerators as per given numbers 5201/230, 8119/7988 is
GCF of Numerators i.e. for 5201,8119 is 1
LCM of denominators i.e. for 230,7988 is 918620.
Thus, GCF of Fractions is 1/918620.Finally, GCF of Fractions for 5201/230, 8119/7988 is 1/918620.