Use our free GCF of Fractions Calculator tool to compute the GCF of 949/815, 377/677 i.e 13/551755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/815, 377/677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 949/815,377/677
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 949/815,377/677, numerators are 949,377
Denominators are 815,677
The GCF of 949,377 is 13 .
LCM of 815,677 is 551755.
The greatest common factor of 949/815,377/677 = [GCF of 949,377]/[LCM of 815,677]= 13/551755
Therefore, the GCF of 949/815,377/677 is 13/551755.
To find the highest common factor of 949,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 377 are 1, 13, 29, 377
The HCF of 949,377 is 13.
Lets's calculate GCF of 949,377
13 | 949, 377 |
73, 29 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 949,377 . The biggest common factor number is the GCF number.
So the greatest common factor 949,377 is 13.
Lets's calculate LCM of 815,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 551755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/551755
Therefore, the GCF of Fractions 949/815,377/677 is 13/551755
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 815,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,677) x common factors =1 x 1 = 1
LCM(815,677) = ( 815 × 677 ) / 1
LCM(815,677) = 551755 / 1
LCM(815,677) = 551755
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 949,377?
The HCF of 949,377 is 13
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 949/815, 377/677?
Answer: GCF of Numerators as per given numbers 949/815, 377/677 is
GCF of Numerators i.e. for 949,377 is 13
LCM of denominators i.e. for 815,677 is 551755.
Thus, GCF of Fractions is 13/551755.Finally, GCF of Fractions for 949/815, 377/677 is 13/551755.