Use our free GCF of Fractions Calculator tool to compute the GCF of 839/780, 318/215 i.e 1/33540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 839/780, 318/215.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/780,318/215
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 839/780,318/215, numerators are 839,318
Denominators are 780,215
The GCF of 839,318 is 1 .
LCM of 780,215 is 33540.
The greatest common factor of 839/780,318/215 = [GCF of 839,318]/[LCM of 780,215]= 1/33540
Therefore, the GCF of 839/780,318/215 is 1/33540.
To find the highest common factor of 839,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 839 are 1, 839
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 839,318 is 1.
Lets's calculate GCF of 839,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 839
:1,839
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 839,318 . The biggest common factor number is the GCF number.
So the greatest common factor 839,318 is 1.
Lets's calculate LCM of 780,215
5 | 780, 215 |
156, 43 |
∴ So the LCM of the given numbers is 5 x 156 x 43 = 33540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33540
Therefore, the GCF of Fractions 839/780,318/215 is 1/33540
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 780,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(780,215) x common factors =5 x 1 = 5
LCM(780,215) = ( 780 × 215 ) / 5
LCM(780,215) = 167700 / 5
LCM(780,215) = 33540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 839,318?
The HCF of 839,318 is 1
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 839/780, 318/215?
Answer: GCF of Numerators as per given numbers 839/780, 318/215 is
GCF of Numerators i.e. for 839,318 is 1
LCM of denominators i.e. for 780,215 is 33540.
Thus, GCF of Fractions is 1/33540.Finally, GCF of Fractions for 839/780, 318/215 is 1/33540.