Use our free GCF of Fractions Calculator tool to compute the GCF of 6268/720, 5095/1486 i.e 1/534960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6268/720, 5095/1486.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6268/720,5095/1486
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 6268/720,5095/1486, numerators are 6268,5095
Denominators are 720,1486
The GCF of 6268,5095 is 1 .
LCM of 720,1486 is 534960.
The greatest common factor of 6268/720,5095/1486 = [GCF of 6268,5095]/[LCM of 720,1486]= 1/534960
Therefore, the GCF of 6268/720,5095/1486 is 1/534960.
To find the highest common factor of 6268,5095, we have to find the factors of both numbers and list the highest common factor.
The factors of 6268 are 1, 2, 4, 1567, 3134, 6268
The factors of 5095 are 1, 5, 1019, 5095
The HCF of 6268,5095 is 1.
Lets's calculate GCF of 6268,5095
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6268
:1,2,4,1567,3134,6268
Now, list down the factors of 5095
:1,5,1019,5095
Greatest Common Factor
We found the factors 6268,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 6268,5095 is 1.
Lets's calculate LCM of 720,1486
2 | 720, 1486 |
360, 743 |
∴ So the LCM of the given numbers is 2 x 360 x 743 = 534960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534960
Therefore, the GCF of Fractions 6268/720,5095/1486 is 1/534960
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 720,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,1486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(720,1486) x common factors =2 x 1 = 2
LCM(720,1486) = ( 720 × 1486 ) / 2
LCM(720,1486) = 1069920 / 2
LCM(720,1486) = 534960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6268,5095?
The HCF of 6268,5095 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 6268/720, 5095/1486?
Answer: GCF of Numerators as per given numbers 6268/720, 5095/1486 is
GCF of Numerators i.e. for 6268,5095 is 1
LCM of denominators i.e. for 720,1486 is 534960.
Thus, GCF of Fractions is 1/534960.Finally, GCF of Fractions for 6268/720, 5095/1486 is 1/534960.