Use our free GCF of Fractions Calculator tool to compute the GCF of 5063/250, 7663/1055 i.e 1/52750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5063/250, 7663/1055.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5063/250,7663/1055
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 5063/250,7663/1055, numerators are 5063,7663
Denominators are 250,1055
The GCF of 5063,7663 is 1 .
LCM of 250,1055 is 52750.
The greatest common factor of 5063/250,7663/1055 = [GCF of 5063,7663]/[LCM of 250,1055]= 1/52750
Therefore, the GCF of 5063/250,7663/1055 is 1/52750.
To find the highest common factor of 5063,7663, we have to find the factors of both numbers and list the highest common factor.
The factors of 5063 are 1, 61, 83, 5063
The factors of 7663 are 1, 79, 97, 7663
The HCF of 5063,7663 is 1.
Lets's calculate GCF of 5063,7663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5063
:1,61,83,5063
Now, list down the factors of 7663
:1,79,97,7663
Greatest Common Factor
We found the factors 5063,7663 . The biggest common factor number is the GCF number.
So the greatest common factor 5063,7663 is 1.
Lets's calculate LCM of 250,1055
5 | 250, 1055 |
50, 211 |
∴ So the LCM of the given numbers is 5 x 50 x 211 = 52750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52750
Therefore, the GCF of Fractions 5063/250,7663/1055 is 1/52750
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 250,1055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,1055) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(250,1055) x common factors =5 x 1 = 5
LCM(250,1055) = ( 250 × 1055 ) / 5
LCM(250,1055) = 263750 / 5
LCM(250,1055) = 52750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5063,7663?
The HCF of 5063,7663 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 5063/250, 7663/1055?
Answer: GCF of Numerators as per given numbers 5063/250, 7663/1055 is
GCF of Numerators i.e. for 5063,7663 is 1
LCM of denominators i.e. for 250,1055 is 52750.
Thus, GCF of Fractions is 1/52750.Finally, GCF of Fractions for 5063/250, 7663/1055 is 1/52750.