Use our free GCF of Fractions Calculator tool to compute the GCF of 5551/287, 5706/1589 i.e 1/65149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5551/287, 5706/1589.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5551/287,5706/1589
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 5551/287,5706/1589, numerators are 5551,5706
Denominators are 287,1589
The GCF of 5551,5706 is 1 .
LCM of 287,1589 is 65149.
The greatest common factor of 5551/287,5706/1589 = [GCF of 5551,5706]/[LCM of 287,1589]= 1/65149
Therefore, the GCF of 5551/287,5706/1589 is 1/65149.
To find the highest common factor of 5551,5706, we have to find the factors of both numbers and list the highest common factor.
The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551
The factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706
The HCF of 5551,5706 is 1.
Lets's calculate GCF of 5551,5706
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5551
:1,7,13,61,91,427,793,5551
Now, list down the factors of 5706
:1,2,3,6,9,18,317,634,951,1902,2853,5706
Greatest Common Factor
We found the factors 5551,5706 . The biggest common factor number is the GCF number.
So the greatest common factor 5551,5706 is 1.
Lets's calculate LCM of 287,1589
7 | 287, 1589 |
41, 227 |
∴ So the LCM of the given numbers is 7 x 41 x 227 = 65149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65149
Therefore, the GCF of Fractions 5551/287,5706/1589 is 1/65149
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 287,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,1589) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(287,1589) x common factors =7 x 1 = 7
LCM(287,1589) = ( 287 × 1589 ) / 7
LCM(287,1589) = 456043 / 7
LCM(287,1589) = 65149
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5551,5706?
The HCF of 5551,5706 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 5551/287, 5706/1589?
Answer: GCF of Numerators as per given numbers 5551/287, 5706/1589 is
GCF of Numerators i.e. for 5551,5706 is 1
LCM of denominators i.e. for 287,1589 is 65149.
Thus, GCF of Fractions is 1/65149.Finally, GCF of Fractions for 5551/287, 5706/1589 is 1/65149.