Use our free GCF of Fractions Calculator tool to compute the GCF of 6095/493, 6028/728 i.e 1/358904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6095/493, 6028/728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6095/493,6028/728
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 6095/493,6028/728, numerators are 6095,6028
Denominators are 493,728
The GCF of 6095,6028 is 1 .
LCM of 493,728 is 358904.
The greatest common factor of 6095/493,6028/728 = [GCF of 6095,6028]/[LCM of 493,728]= 1/358904
Therefore, the GCF of 6095/493,6028/728 is 1/358904.
To find the highest common factor of 6095,6028, we have to find the factors of both numbers and list the highest common factor.
The factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095
The factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028
The HCF of 6095,6028 is 1.
Lets's calculate GCF of 6095,6028
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6095
:1,5,23,53,115,265,1219,6095
Now, list down the factors of 6028
:1,2,4,11,22,44,137,274,548,1507,3014,6028
Greatest Common Factor
We found the factors 6095,6028 . The biggest common factor number is the GCF number.
So the greatest common factor 6095,6028 is 1.
Lets's calculate LCM of 493,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 358904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358904
Therefore, the GCF of Fractions 6095/493,6028/728 is 1/358904
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 493,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,728) x common factors =1 x 1 = 1
LCM(493,728) = ( 493 × 728 ) / 1
LCM(493,728) = 358904 / 1
LCM(493,728) = 358904
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6095,6028?
The HCF of 6095,6028 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 6095/493, 6028/728?
Answer: GCF of Numerators as per given numbers 6095/493, 6028/728 is
GCF of Numerators i.e. for 6095,6028 is 1
LCM of denominators i.e. for 493,728 is 358904.
Thus, GCF of Fractions is 1/358904.Finally, GCF of Fractions for 6095/493, 6028/728 is 1/358904.