Use our free GCF of Fractions Calculator tool to compute the GCF of 118/212, 116/757 i.e 2/160484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/212, 116/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/212,116/757
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 118/212,116/757, numerators are 118,116
Denominators are 212,757
The GCF of 118,116 is 2 .
LCM of 212,757 is 160484.
The greatest common factor of 118/212,116/757 = [GCF of 118,116]/[LCM of 212,757]= 2/160484
Therefore, the GCF of 118/212,116/757 is 2/160484.
To find the highest common factor of 118,116, 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 116 are 1, 2, 4, 29, 58, 116
The HCF of 118,116 is 2.
Lets's calculate GCF of 118,116
2 | 118, 116 |
59, 58 |
∴ 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 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 118,116 . The biggest common factor number is the GCF number.
So the greatest common factor 118,116 is 2.
Lets's calculate LCM of 212,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 160484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160484
Therefore, the GCF of Fractions 118/212,116/757 is 2/160484
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 212,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,757) x common factors =1 x 1 = 1
LCM(212,757) = ( 212 × 757 ) / 1
LCM(212,757) = 160484 / 1
LCM(212,757) = 160484
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 118,116?
The HCF of 118,116 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 118/212, 116/757?
Answer: GCF of Numerators as per given numbers 118/212, 116/757 is
GCF of Numerators i.e. for 118,116 is 2
LCM of denominators i.e. for 212,757 is 160484.
Thus, GCF of Fractions is 2/160484.Finally, GCF of Fractions for 118/212, 116/757 is 2/160484.