GCF of 3918/317, 5166/6829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3918/317, 5166/6829 i.e 6/2164793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3918/317, 5166/6829.
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 3918/317,5166/6829?
Given fractions are 3918/317,5166/6829
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 3918/317,5166/6829, numerators are 3918,5166
Denominators are 317,6829
The GCF of 3918,5166 is 6 .
LCM of 317,6829 is 2164793.
The greatest common factor of 3918/317,5166/6829 = [GCF of 3918,5166]/[LCM of 317,6829]= 6/2164793
Therefore, the GCF of 3918/317,5166/6829 is 6/2164793.
To find the highest common factor of 3918,5166, we have to find the factors of both numbers and list the highest common factor.
The factors of 3918 are 1, 2, 3, 6, 653, 1306, 1959, 3918
The factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166
The HCF of 3918,5166 is 6.
Lets's calculate GCF of 3918,5166
| 2 | 3918, 5166 |
| 3 | 1959, 2583 |
| 653, 861 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3918,5166 By Matching Biggest Common Factor Method
Now, list down the factors of 3918
:1,2,3,6,653,1306,1959,3918
Now, list down the factors of 5166
:1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Greatest Common Factor
We found the factors 3918,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 3918,5166 is 6.
Lets's calculate LCM of 317,6829
Given numbers has no common factors except 1. So, there LCM is their product i.e 2164793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2164793
Therefore, the GCF of Fractions 3918/317,5166/6829 is 6/2164793
Least Common Multiple of 317,6829 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 317,6829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,6829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,6829) x common factors =1 x 1 = 1
LCM(317,6829) = ( 317 × 6829 ) / 1
LCM(317,6829) = 2164793 / 1
LCM(317,6829) = 2164793
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3918/317, 5166/6829
1. What is the HCF of 3918,5166?
The HCF of 3918,5166 is 6
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 3918/317, 5166/6829?
Answer: GCF of Numerators as per given numbers 3918/317, 5166/6829 is
GCF of Numerators i.e. for 3918,5166 is 6
LCM of denominators i.e. for 317,6829 is 2164793.
Thus, GCF of Fractions is 6/2164793.Finally, GCF of Fractions for 3918/317, 5166/6829 is 6/2164793.