Use our free GCF of Fractions Calculator tool to compute the GCF of 6170/899, 6568/4970 i.e 2/4468030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6170/899, 6568/4970.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6170/899,6568/4970
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 6170/899,6568/4970, numerators are 6170,6568
Denominators are 899,4970
The GCF of 6170,6568 is 2 .
LCM of 899,4970 is 4468030.
The greatest common factor of 6170/899,6568/4970 = [GCF of 6170,6568]/[LCM of 899,4970]= 2/4468030
Therefore, the GCF of 6170/899,6568/4970 is 2/4468030.
To find the highest common factor of 6170,6568, we have to find the factors of both numbers and list the highest common factor.
The factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170
The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568
The HCF of 6170,6568 is 2.
Lets's calculate GCF of 6170,6568
2 | 6170, 6568 |
3085, 3284 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6170
:1,2,5,10,617,1234,3085,6170
Now, list down the factors of 6568
:1,2,4,8,821,1642,3284,6568
Greatest Common Factor
We found the factors 6170,6568 . The biggest common factor number is the GCF number.
So the greatest common factor 6170,6568 is 2.
Lets's calculate LCM of 899,4970
Given numbers has no common factors except 1. So, there LCM is their product i.e 4468030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4468030
Therefore, the GCF of Fractions 6170/899,6568/4970 is 2/4468030
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 899,4970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,4970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,4970) x common factors =1 x 1 = 1
LCM(899,4970) = ( 899 × 4970 ) / 1
LCM(899,4970) = 4468030 / 1
LCM(899,4970) = 4468030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6170,6568?
The HCF of 6170,6568 is 2
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 6170/899, 6568/4970?
Answer: GCF of Numerators as per given numbers 6170/899, 6568/4970 is
GCF of Numerators i.e. for 6170,6568 is 2
LCM of denominators i.e. for 899,4970 is 4468030.
Thus, GCF of Fractions is 2/4468030.Finally, GCF of Fractions for 6170/899, 6568/4970 is 2/4468030.