Use our free GCF of Fractions Calculator tool to compute the GCF of 831/932, 649/348 i.e 1/81084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 831/932, 649/348.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/932,649/348
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 831/932,649/348, numerators are 831,649
Denominators are 932,348
The GCF of 831,649 is 1 .
LCM of 932,348 is 81084.
The greatest common factor of 831/932,649/348 = [GCF of 831,649]/[LCM of 932,348]= 1/81084
Therefore, the GCF of 831/932,649/348 is 1/81084.
To find the highest common factor of 831,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 831 are 1, 3, 277, 831
The factors of 649 are 1, 11, 59, 649
The HCF of 831,649 is 1.
Lets's calculate GCF of 831,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 831
:1,3,277,831
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 831,649 . The biggest common factor number is the GCF number.
So the greatest common factor 831,649 is 1.
Lets's calculate LCM of 932,348
2 | 932, 348 |
2 | 466, 174 |
233, 87 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 87 = 81084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81084
Therefore, the GCF of Fractions 831/932,649/348 is 1/81084
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 932,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,348) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(932,348) x common factors =4 x 1 = 4
LCM(932,348) = ( 932 × 348 ) / 4
LCM(932,348) = 324336 / 4
LCM(932,348) = 81084
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 831,649?
The HCF of 831,649 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 831/932, 649/348?
Answer: GCF of Numerators as per given numbers 831/932, 649/348 is
GCF of Numerators i.e. for 831,649 is 1
LCM of denominators i.e. for 932,348 is 81084.
Thus, GCF of Fractions is 1/81084.Finally, GCF of Fractions for 831/932, 649/348 is 1/81084.