Use our free GCF of Fractions Calculator tool to compute the GCF of 28/620, 5191/1169 i.e 1/724780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/620, 5191/1169.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/620,5191/1169
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 28/620,5191/1169, numerators are 28,5191
Denominators are 620,1169
The GCF of 28,5191 is 1 .
LCM of 620,1169 is 724780.
The greatest common factor of 28/620,5191/1169 = [GCF of 28,5191]/[LCM of 620,1169]= 1/724780
Therefore, the GCF of 28/620,5191/1169 is 1/724780.
To find the highest common factor of 28,5191, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 5191 are 1, 29, 179, 5191
The HCF of 28,5191 is 1.
Lets's calculate GCF of 28,5191
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 5191
:1,29,179,5191
Greatest Common Factor
We found the factors 28,5191 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5191 is 1.
Lets's calculate LCM of 620,1169
Given numbers has no common factors except 1. So, there LCM is their product i.e 724780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724780
Therefore, the GCF of Fractions 28/620,5191/1169 is 1/724780
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 620,1169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,1169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,1169) x common factors =1 x 1 = 1
LCM(620,1169) = ( 620 × 1169 ) / 1
LCM(620,1169) = 724780 / 1
LCM(620,1169) = 724780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,5191?
The HCF of 28,5191 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 28/620, 5191/1169?
Answer: GCF of Numerators as per given numbers 28/620, 5191/1169 is
GCF of Numerators i.e. for 28,5191 is 1
LCM of denominators i.e. for 620,1169 is 724780.
Thus, GCF of Fractions is 1/724780.Finally, GCF of Fractions for 28/620, 5191/1169 is 1/724780.