GCF of 5319/211, 6171/2362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5319/211, 6171/2362 i.e 3/498382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5319/211, 6171/2362.
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 5319/211,6171/2362?
Given fractions are 5319/211,6171/2362
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 5319/211,6171/2362, numerators are 5319,6171
Denominators are 211,2362
The GCF of 5319,6171 is 3 .
LCM of 211,2362 is 498382.
The greatest common factor of 5319/211,6171/2362 = [GCF of 5319,6171]/[LCM of 211,2362]= 3/498382
Therefore, the GCF of 5319/211,6171/2362 is 3/498382.
To find the highest common factor of 5319,6171, we have to find the factors of both numbers and list the highest common factor.
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171
The HCF of 5319,6171 is 3.
Lets's calculate GCF of 5319,6171
| 3 | 5319, 6171 |
| 1773, 2057 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5319,6171 By Matching Biggest Common Factor Method
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Now, list down the factors of 6171
:1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 5319,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,6171 is 3.
Lets's calculate LCM of 211,2362
Given numbers has no common factors except 1. So, there LCM is their product i.e 498382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/498382
Therefore, the GCF of Fractions 5319/211,6171/2362 is 3/498382
Least Common Multiple of 211,2362 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 211,2362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,2362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,2362) x common factors =1 x 1 = 1
LCM(211,2362) = ( 211 × 2362 ) / 1
LCM(211,2362) = 498382 / 1
LCM(211,2362) = 498382
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5319/211, 6171/2362
1. What is the HCF of 5319,6171?
The HCF of 5319,6171 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 5319/211, 6171/2362?
Answer: GCF of Numerators as per given numbers 5319/211, 6171/2362 is
GCF of Numerators i.e. for 5319,6171 is 3
LCM of denominators i.e. for 211,2362 is 498382.
Thus, GCF of Fractions is 3/498382.Finally, GCF of Fractions for 5319/211, 6171/2362 is 3/498382.