Use our free GCF of Fractions Calculator tool to compute the GCF of 418/157, 318/218 i.e 2/34226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/157, 318/218.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 418/157,318/218
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 418/157,318/218, numerators are 418,318
Denominators are 157,218
The GCF of 418,318 is 2 .
LCM of 157,218 is 34226.
The greatest common factor of 418/157,318/218 = [GCF of 418,318]/[LCM of 157,218]= 2/34226
Therefore, the GCF of 418/157,318/218 is 2/34226.
To find the highest common factor of 418,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 418,318 is 2.
Lets's calculate GCF of 418,318
2 | 418, 318 |
209, 159 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 418,318 . The biggest common factor number is the GCF number.
So the greatest common factor 418,318 is 2.
Lets's calculate LCM of 157,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 34226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34226
Therefore, the GCF of Fractions 418/157,318/218 is 2/34226
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 157,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,218) x common factors =1 x 1 = 1
LCM(157,218) = ( 157 × 218 ) / 1
LCM(157,218) = 34226 / 1
LCM(157,218) = 34226
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 418,318?
The HCF of 418,318 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 418/157, 318/218?
Answer: GCF of Numerators as per given numbers 418/157, 318/218 is
GCF of Numerators i.e. for 418,318 is 2
LCM of denominators i.e. for 157,218 is 34226.
Thus, GCF of Fractions is 2/34226.Finally, GCF of Fractions for 418/157, 318/218 is 2/34226.