Use our free GCF of Fractions Calculator tool to compute the GCF of 944/617, 177/303 i.e 59/186951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 944/617, 177/303.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/617,177/303
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 944/617,177/303, numerators are 944,177
Denominators are 617,303
The GCF of 944,177 is 59 .
LCM of 617,303 is 186951.
The greatest common factor of 944/617,177/303 = [GCF of 944,177]/[LCM of 617,303]= 59/186951
Therefore, the GCF of 944/617,177/303 is 59/186951.
To find the highest common factor of 944,177, we have to find the factors of both numbers and list the highest common factor.
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
The factors of 177 are 1, 3, 59, 177
The HCF of 944,177 is 59.
Lets's calculate GCF of 944,177
59 | 944, 177 |
16, 3 |
∴ So the GCF of the given numbers is 59 = 59
Now, list down the factors of 944
:1,2,4,8,16,59,118,236,472,944
Now, list down the factors of 177
:1,3,59,177
Greatest Common Factor
We found the factors 944,177 . The biggest common factor number is the GCF number.
So the greatest common factor 944,177 is 59.
Lets's calculate LCM of 617,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 186951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/186951
Therefore, the GCF of Fractions 944/617,177/303 is 59/186951
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 617,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,303) x common factors =1 x 1 = 1
LCM(617,303) = ( 617 × 303 ) / 1
LCM(617,303) = 186951 / 1
LCM(617,303) = 186951
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 944,177?
The HCF of 944,177 is 59
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 944/617, 177/303?
Answer: GCF of Numerators as per given numbers 944/617, 177/303 is
GCF of Numerators i.e. for 944,177 is 59
LCM of denominators i.e. for 617,303 is 186951.
Thus, GCF of Fractions is 59/186951.Finally, GCF of Fractions for 944/617, 177/303 is 59/186951.