GCF of 5217/511, 1316/3324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5217/511, 1316/3324 i.e 47/1698564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5217/511, 1316/3324.
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 5217/511,1316/3324?
Given fractions are 5217/511,1316/3324
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 5217/511,1316/3324, numerators are 5217,1316
Denominators are 511,3324
The GCF of 5217,1316 is 47 .
LCM of 511,3324 is 1698564.
The greatest common factor of 5217/511,1316/3324 = [GCF of 5217,1316]/[LCM of 511,3324]= 47/1698564
Therefore, the GCF of 5217/511,1316/3324 is 47/1698564.
To find the highest common factor of 5217,1316, we have to find the factors of both numbers and list the highest common factor.
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
The HCF of 5217,1316 is 47.
Lets's calculate GCF of 5217,1316
| 47 | 5217, 1316 |
| 111, 28 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 5217,1316 By Matching Biggest Common Factor Method
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
Now, list down the factors of 1316
:1,2,4,7,14,28,47,94,188,329,658,1316
Greatest Common Factor
We found the factors 5217,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,1316 is 47.
Lets's calculate LCM of 511,3324
Given numbers has no common factors except 1. So, there LCM is their product i.e 1698564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1698564
Therefore, the GCF of Fractions 5217/511,1316/3324 is 47/1698564
Least Common Multiple of 511,3324 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 511,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,3324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,3324) x common factors =1 x 1 = 1
LCM(511,3324) = ( 511 × 3324 ) / 1
LCM(511,3324) = 1698564 / 1
LCM(511,3324) = 1698564
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5217/511, 1316/3324
1. What is the HCF of 5217,1316?
The HCF of 5217,1316 is 47
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 5217/511, 1316/3324?
Answer: GCF of Numerators as per given numbers 5217/511, 1316/3324 is
GCF of Numerators i.e. for 5217,1316 is 47
LCM of denominators i.e. for 511,3324 is 1698564.
Thus, GCF of Fractions is 47/1698564.Finally, GCF of Fractions for 5217/511, 1316/3324 is 47/1698564.