Use our free GCF of Fractions Calculator tool to compute the GCF of 385/974, 847/287 i.e 77/279538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/974, 847/287.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/974,847/287
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 385/974,847/287, numerators are 385,847
Denominators are 974,287
The GCF of 385,847 is 77 .
LCM of 974,287 is 279538.
The greatest common factor of 385/974,847/287 = [GCF of 385,847]/[LCM of 974,287]= 77/279538
Therefore, the GCF of 385/974,847/287 is 77/279538.
To find the highest common factor of 385,847, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 847 are 1, 7, 11, 77, 121, 847
The HCF of 385,847 is 77.
Lets's calculate GCF of 385,847
7 | 385, 847 |
11 | 55, 121 |
5, 11 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 847
:1,7,11,77,121,847
Greatest Common Factor
We found the factors 385,847 . The biggest common factor number is the GCF number.
So the greatest common factor 385,847 is 77.
Lets's calculate LCM of 974,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 279538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/279538
Therefore, the GCF of Fractions 385/974,847/287 is 77/279538
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 974,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,287) x common factors =1 x 1 = 1
LCM(974,287) = ( 974 × 287 ) / 1
LCM(974,287) = 279538 / 1
LCM(974,287) = 279538
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 385,847?
The HCF of 385,847 is 77
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 385/974, 847/287?
Answer: GCF of Numerators as per given numbers 385/974, 847/287 is
GCF of Numerators i.e. for 385,847 is 77
LCM of denominators i.e. for 974,287 is 279538.
Thus, GCF of Fractions is 77/279538.Finally, GCF of Fractions for 385/974, 847/287 is 77/279538.