GCF of 5255/514, 6518/5660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5255/514, 6518/5660 i.e 1/1454620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5255/514, 6518/5660.
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 5255/514,6518/5660?
Given fractions are 5255/514,6518/5660
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 5255/514,6518/5660, numerators are 5255,6518
Denominators are 514,5660
The GCF of 5255,6518 is 1 .
LCM of 514,5660 is 1454620.
The greatest common factor of 5255/514,6518/5660 = [GCF of 5255,6518]/[LCM of 514,5660]= 1/1454620
Therefore, the GCF of 5255/514,6518/5660 is 1/1454620.
To find the highest common factor of 5255,6518, we have to find the factors of both numbers and list the highest common factor.
The factors of 5255 are 1, 5, 1051, 5255
The factors of 6518 are 1, 2, 3259, 6518
The HCF of 5255,6518 is 1.
Lets's calculate GCF of 5255,6518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5255,6518 By Matching Biggest Common Factor Method
Now, list down the factors of 5255
:1,5,1051,5255
Now, list down the factors of 6518
:1,2,3259,6518
Greatest Common Factor
We found the factors 5255,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 5255,6518 is 1.
Lets's calculate LCM of 514,5660
| 2 | 514, 5660 |
| 257, 2830 |
∴ So the LCM of the given numbers is 2 x 257 x 2830 = 1454620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1454620
Therefore, the GCF of Fractions 5255/514,6518/5660 is 1/1454620
Least Common Multiple of 514,5660 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 514,5660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,5660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,5660) x common factors =2 x 1 = 2
LCM(514,5660) = ( 514 × 5660 ) / 2
LCM(514,5660) = 2909240 / 2
LCM(514,5660) = 1454620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5255/514, 6518/5660
1. What is the HCF of 5255,6518?
The HCF of 5255,6518 is 1
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 5255/514, 6518/5660?
Answer: GCF of Numerators as per given numbers 5255/514, 6518/5660 is
GCF of Numerators i.e. for 5255,6518 is 1
LCM of denominators i.e. for 514,5660 is 1454620.
Thus, GCF of Fractions is 1/1454620.Finally, GCF of Fractions for 5255/514, 6518/5660 is 1/1454620.