Use our free GCF of Fractions Calculator tool to compute the GCF of 5813/601, 2563/672 i.e 1/403872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5813/601, 2563/672.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5813/601,2563/672
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 5813/601,2563/672, numerators are 5813,2563
Denominators are 601,672
The GCF of 5813,2563 is 1 .
LCM of 601,672 is 403872.
The greatest common factor of 5813/601,2563/672 = [GCF of 5813,2563]/[LCM of 601,672]= 1/403872
Therefore, the GCF of 5813/601,2563/672 is 1/403872.
To find the highest common factor of 5813,2563, we have to find the factors of both numbers and list the highest common factor.
The factors of 5813 are 1, 5813
The factors of 2563 are 1, 11, 233, 2563
The HCF of 5813,2563 is 1.
Lets's calculate GCF of 5813,2563
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5813
:1,5813
Now, list down the factors of 2563
:1,11,233,2563
Greatest Common Factor
We found the factors 5813,2563 . The biggest common factor number is the GCF number.
So the greatest common factor 5813,2563 is 1.
Lets's calculate LCM of 601,672
Given numbers has no common factors except 1. So, there LCM is their product i.e 403872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403872
Therefore, the GCF of Fractions 5813/601,2563/672 is 1/403872
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 601,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,672) x common factors =1 x 1 = 1
LCM(601,672) = ( 601 × 672 ) / 1
LCM(601,672) = 403872 / 1
LCM(601,672) = 403872
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5813,2563?
The HCF of 5813,2563 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 5813/601, 2563/672?
Answer: GCF of Numerators as per given numbers 5813/601, 2563/672 is
GCF of Numerators i.e. for 5813,2563 is 1
LCM of denominators i.e. for 601,672 is 403872.
Thus, GCF of Fractions is 1/403872.Finally, GCF of Fractions for 5813/601, 2563/672 is 1/403872.