Use our free GCF of Fractions Calculator tool to compute the GCF of 681/277, 489/834 i.e 3/231018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 681/277, 489/834.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 681/277,489/834
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 681/277,489/834, numerators are 681,489
Denominators are 277,834
The GCF of 681,489 is 3 .
LCM of 277,834 is 231018.
The greatest common factor of 681/277,489/834 = [GCF of 681,489]/[LCM of 277,834]= 3/231018
Therefore, the GCF of 681/277,489/834 is 3/231018.
To find the highest common factor of 681,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 681 are 1, 3, 227, 681
The factors of 489 are 1, 3, 163, 489
The HCF of 681,489 is 3.
Lets's calculate GCF of 681,489
3 | 681, 489 |
227, 163 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 681
:1,3,227,681
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 681,489 . The biggest common factor number is the GCF number.
So the greatest common factor 681,489 is 3.
Lets's calculate LCM of 277,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 231018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231018
Therefore, the GCF of Fractions 681/277,489/834 is 3/231018
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 277,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,834) x common factors =1 x 1 = 1
LCM(277,834) = ( 277 × 834 ) / 1
LCM(277,834) = 231018 / 1
LCM(277,834) = 231018
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 681,489?
The HCF of 681,489 is 3
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 681/277, 489/834?
Answer: GCF of Numerators as per given numbers 681/277, 489/834 is
GCF of Numerators i.e. for 681,489 is 3
LCM of denominators i.e. for 277,834 is 231018.
Thus, GCF of Fractions is 3/231018.Finally, GCF of Fractions for 681/277, 489/834 is 3/231018.