Use our free GCF of Fractions Calculator tool to compute the GCF of 387/896, 854/940 i.e 1/210560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/896, 854/940.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/896,854/940
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 387/896,854/940, numerators are 387,854
Denominators are 896,940
The GCF of 387,854 is 1 .
LCM of 896,940 is 210560.
The greatest common factor of 387/896,854/940 = [GCF of 387,854]/[LCM of 896,940]= 1/210560
Therefore, the GCF of 387/896,854/940 is 1/210560.
To find the highest common factor of 387,854, we have to find the factors of both numbers and list the highest common factor.
The factors of 387 are 1, 3, 9, 43, 129, 387
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The HCF of 387,854 is 1.
Lets's calculate GCF of 387,854
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 387
:1,3,9,43,129,387
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 387,854 . The biggest common factor number is the GCF number.
So the greatest common factor 387,854 is 1.
Lets's calculate LCM of 896,940
2 | 896, 940 |
2 | 448, 470 |
224, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 224 x 235 = 210560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210560
Therefore, the GCF of Fractions 387/896,854/940 is 1/210560
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 896,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,940) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(896,940) x common factors =4 x 1 = 4
LCM(896,940) = ( 896 × 940 ) / 4
LCM(896,940) = 842240 / 4
LCM(896,940) = 210560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 387,854?
The HCF of 387,854 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 387/896, 854/940?
Answer: GCF of Numerators as per given numbers 387/896, 854/940 is
GCF of Numerators i.e. for 387,854 is 1
LCM of denominators i.e. for 896,940 is 210560.
Thus, GCF of Fractions is 1/210560.Finally, GCF of Fractions for 387/896, 854/940 is 1/210560.