Use our free GCF of Fractions Calculator tool to compute the GCF of 5663/877, 4985/7238 i.e 1/6347726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5663/877, 4985/7238.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5663/877,4985/7238
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 5663/877,4985/7238, numerators are 5663,4985
Denominators are 877,7238
The GCF of 5663,4985 is 1 .
LCM of 877,7238 is 6347726.
The greatest common factor of 5663/877,4985/7238 = [GCF of 5663,4985]/[LCM of 877,7238]= 1/6347726
Therefore, the GCF of 5663/877,4985/7238 is 1/6347726.
To find the highest common factor of 5663,4985, we have to find the factors of both numbers and list the highest common factor.
The factors of 5663 are 1, 7, 809, 5663
The factors of 4985 are 1, 5, 997, 4985
The HCF of 5663,4985 is 1.
Lets's calculate GCF of 5663,4985
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5663
:1,7,809,5663
Now, list down the factors of 4985
:1,5,997,4985
Greatest Common Factor
We found the factors 5663,4985 . The biggest common factor number is the GCF number.
So the greatest common factor 5663,4985 is 1.
Lets's calculate LCM of 877,7238
Given numbers has no common factors except 1. So, there LCM is their product i.e 6347726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6347726
Therefore, the GCF of Fractions 5663/877,4985/7238 is 1/6347726
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 877,7238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,7238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,7238) x common factors =1 x 1 = 1
LCM(877,7238) = ( 877 × 7238 ) / 1
LCM(877,7238) = 6347726 / 1
LCM(877,7238) = 6347726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5663,4985?
The HCF of 5663,4985 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 5663/877, 4985/7238?
Answer: GCF of Numerators as per given numbers 5663/877, 4985/7238 is
GCF of Numerators i.e. for 5663,4985 is 1
LCM of denominators i.e. for 877,7238 is 6347726.
Thus, GCF of Fractions is 1/6347726.Finally, GCF of Fractions for 5663/877, 4985/7238 is 1/6347726.