Use our free GCF of Fractions Calculator tool to compute the GCF of 318/382, 432/955 i.e 6/1910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/382, 432/955.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/382,432/955
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 318/382,432/955, numerators are 318,432
Denominators are 382,955
The GCF of 318,432 is 6 .
LCM of 382,955 is 1910.
The greatest common factor of 318/382,432/955 = [GCF of 318,432]/[LCM of 382,955]= 6/1910
Therefore, the GCF of 318/382,432/955 is 6/1910.
To find the highest common factor of 318,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 318,432 is 6.
Lets's calculate GCF of 318,432
2 | 318, 432 |
3 | 159, 216 |
53, 72 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 318,432 . The biggest common factor number is the GCF number.
So the greatest common factor 318,432 is 6.
Lets's calculate LCM of 382,955
191 | 382, 955 |
2, 5 |
∴ So the LCM of the given numbers is 191 x 2 x 5 = 1910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1910
Therefore, the GCF of Fractions 318/382,432/955 is 6/1910
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 382,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,955) = 191
common factors(in case of two or more numbers have common factors) = 1
GCF(382,955) x common factors =191 x 1 = 191
LCM(382,955) = ( 382 × 955 ) / 191
LCM(382,955) = 364810 / 191
LCM(382,955) = 1910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 318,432?
The HCF of 318,432 is 6
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 318/382, 432/955?
Answer: GCF of Numerators as per given numbers 318/382, 432/955 is
GCF of Numerators i.e. for 318,432 is 6
LCM of denominators i.e. for 382,955 is 1910.
Thus, GCF of Fractions is 6/1910.Finally, GCF of Fractions for 318/382, 432/955 is 6/1910.