GCF of 8390/203, 6168/2917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8390/203, 6168/2917 i.e 2/592151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8390/203, 6168/2917.
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 8390/203,6168/2917?
Given fractions are 8390/203,6168/2917
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 8390/203,6168/2917, numerators are 8390,6168
Denominators are 203,2917
The GCF of 8390,6168 is 2 .
LCM of 203,2917 is 592151.
The greatest common factor of 8390/203,6168/2917 = [GCF of 8390,6168]/[LCM of 203,2917]= 2/592151
Therefore, the GCF of 8390/203,6168/2917 is 2/592151.
To find the highest common factor of 8390,6168, we have to find the factors of both numbers and list the highest common factor.
The factors of 8390 are 1, 2, 5, 10, 839, 1678, 4195, 8390
The factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168
The HCF of 8390,6168 is 2.
Lets's calculate GCF of 8390,6168
| 2 | 8390, 6168 |
| 4195, 3084 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8390,6168 By Matching Biggest Common Factor Method
Now, list down the factors of 8390
:1,2,5,10,839,1678,4195,8390
Now, list down the factors of 6168
:1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Greatest Common Factor
We found the factors 8390,6168 . The biggest common factor number is the GCF number.
So the greatest common factor 8390,6168 is 2.
Lets's calculate LCM of 203,2917
Given numbers has no common factors except 1. So, there LCM is their product i.e 592151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/592151
Therefore, the GCF of Fractions 8390/203,6168/2917 is 2/592151
Least Common Multiple of 203,2917 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 203,2917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,2917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,2917) x common factors =1 x 1 = 1
LCM(203,2917) = ( 203 × 2917 ) / 1
LCM(203,2917) = 592151 / 1
LCM(203,2917) = 592151
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8390/203, 6168/2917
1. What is the HCF of 8390,6168?
The HCF of 8390,6168 is 2
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 8390/203, 6168/2917?
Answer: GCF of Numerators as per given numbers 8390/203, 6168/2917 is
GCF of Numerators i.e. for 8390,6168 is 2
LCM of denominators i.e. for 203,2917 is 592151.
Thus, GCF of Fractions is 2/592151.Finally, GCF of Fractions for 8390/203, 6168/2917 is 2/592151.