GCF of 6195/852, 8181/4319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6195/852, 8181/4319 i.e 3/3679788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6195/852, 8181/4319.
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 6195/852,8181/4319?
Given fractions are 6195/852,8181/4319
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 6195/852,8181/4319, numerators are 6195,8181
Denominators are 852,4319
The GCF of 6195,8181 is 3 .
LCM of 852,4319 is 3679788.
The greatest common factor of 6195/852,8181/4319 = [GCF of 6195,8181]/[LCM of 852,4319]= 3/3679788
Therefore, the GCF of 6195/852,8181/4319 is 3/3679788.
To find the highest common factor of 6195,8181, we have to find the factors of both numbers and list the highest common factor.
The factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195
The factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
The HCF of 6195,8181 is 3.
Lets's calculate GCF of 6195,8181
| 3 | 6195, 8181 |
| 2065, 2727 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6195,8181 By Matching Biggest Common Factor Method
Now, list down the factors of 6195
:1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Now, list down the factors of 8181
:1,3,9,27,81,101,303,909,2727,8181
Greatest Common Factor
We found the factors 6195,8181 . The biggest common factor number is the GCF number.
So the greatest common factor 6195,8181 is 3.
Lets's calculate LCM of 852,4319
Given numbers has no common factors except 1. So, there LCM is their product i.e 3679788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3679788
Therefore, the GCF of Fractions 6195/852,8181/4319 is 3/3679788
Least Common Multiple of 852,4319 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 852,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,4319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,4319) x common factors =1 x 1 = 1
LCM(852,4319) = ( 852 × 4319 ) / 1
LCM(852,4319) = 3679788 / 1
LCM(852,4319) = 3679788
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FAQs on GCF of Fractions of 6195/852, 8181/4319
1. What is the HCF of 6195,8181?
The HCF of 6195,8181 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 6195/852, 8181/4319?
Answer: GCF of Numerators as per given numbers 6195/852, 8181/4319 is
GCF of Numerators i.e. for 6195,8181 is 3
LCM of denominators i.e. for 852,4319 is 3679788.
Thus, GCF of Fractions is 3/3679788.Finally, GCF of Fractions for 6195/852, 8181/4319 is 3/3679788.