Use our free GCF of Fractions Calculator tool to compute the GCF of 903/251, 507/991 i.e 3/248741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/251, 507/991.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/251,507/991
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 903/251,507/991, numerators are 903,507
Denominators are 251,991
The GCF of 903,507 is 3 .
LCM of 251,991 is 248741.
The greatest common factor of 903/251,507/991 = [GCF of 903,507]/[LCM of 251,991]= 3/248741
Therefore, the GCF of 903/251,507/991 is 3/248741.
To find the highest common factor of 903,507, we have to find the factors of both numbers and list the highest common factor.
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 507 are 1, 3, 13, 39, 169, 507
The HCF of 903,507 is 3.
Lets's calculate GCF of 903,507
3 | 903, 507 |
301, 169 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 507
:1,3,13,39,169,507
Greatest Common Factor
We found the factors 903,507 . The biggest common factor number is the GCF number.
So the greatest common factor 903,507 is 3.
Lets's calculate LCM of 251,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 248741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/248741
Therefore, the GCF of Fractions 903/251,507/991 is 3/248741
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 251,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,991) x common factors =1 x 1 = 1
LCM(251,991) = ( 251 × 991 ) / 1
LCM(251,991) = 248741 / 1
LCM(251,991) = 248741
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 903,507?
The HCF of 903,507 is 3
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 903/251, 507/991?
Answer: GCF of Numerators as per given numbers 903/251, 507/991 is
GCF of Numerators i.e. for 903,507 is 3
LCM of denominators i.e. for 251,991 is 248741.
Thus, GCF of Fractions is 3/248741.Finally, GCF of Fractions for 903/251, 507/991 is 3/248741.