Use our free GCF of Fractions Calculator tool to compute the GCF of 118/19, 916/907 i.e 2/17233 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/19, 916/907.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/19,916/907
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 118/19,916/907, numerators are 118,916
Denominators are 19,907
The GCF of 118,916 is 2 .
LCM of 19,907 is 17233.
The greatest common factor of 118/19,916/907 = [GCF of 118,916]/[LCM of 19,907]= 2/17233
Therefore, the GCF of 118/19,916/907 is 2/17233.
To find the highest common factor of 118,916, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 916 are 1, 2, 4, 229, 458, 916
The HCF of 118,916 is 2.
Lets's calculate GCF of 118,916
2 | 118, 916 |
59, 458 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 916
:1,2,4,229,458,916
Greatest Common Factor
We found the factors 118,916 . The biggest common factor number is the GCF number.
So the greatest common factor 118,916 is 2.
Lets's calculate LCM of 19,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 17233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17233
Therefore, the GCF of Fractions 118/19,916/907 is 2/17233
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 19,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,907) x common factors =1 x 1 = 1
LCM(19,907) = ( 19 × 907 ) / 1
LCM(19,907) = 17233 / 1
LCM(19,907) = 17233
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 118,916?
The HCF of 118,916 is 2
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 118/19, 916/907?
Answer: GCF of Numerators as per given numbers 118/19, 916/907 is
GCF of Numerators i.e. for 118,916 is 2
LCM of denominators i.e. for 19,907 is 17233.
Thus, GCF of Fractions is 2/17233.Finally, GCF of Fractions for 118/19, 916/907 is 2/17233.