Use our free GCF of Fractions Calculator tool to compute the GCF of 903/873, 917/377 i.e 7/329121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/873, 917/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/873,917/377
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 903/873,917/377, numerators are 903,917
Denominators are 873,377
The GCF of 903,917 is 7 .
LCM of 873,377 is 329121.
The greatest common factor of 903/873,917/377 = [GCF of 903,917]/[LCM of 873,377]= 7/329121
Therefore, the GCF of 903/873,917/377 is 7/329121.
To find the highest common factor of 903,917, 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 917 are 1, 7, 131, 917
The HCF of 903,917 is 7.
Lets's calculate GCF of 903,917
7 | 903, 917 |
129, 131 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 903,917 . The biggest common factor number is the GCF number.
So the greatest common factor 903,917 is 7.
Lets's calculate LCM of 873,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 329121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/329121
Therefore, the GCF of Fractions 903/873,917/377 is 7/329121
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 873,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,377) x common factors =1 x 1 = 1
LCM(873,377) = ( 873 × 377 ) / 1
LCM(873,377) = 329121 / 1
LCM(873,377) = 329121
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 903,917?
The HCF of 903,917 is 7
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 903/873, 917/377?
Answer: GCF of Numerators as per given numbers 903/873, 917/377 is
GCF of Numerators i.e. for 903,917 is 7
LCM of denominators i.e. for 873,377 is 329121.
Thus, GCF of Fractions is 7/329121.Finally, GCF of Fractions for 903/873, 917/377 is 7/329121.