Use our free GCF of Fractions Calculator tool to compute the GCF of 8946/678, 3731/599 i.e 7/406122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8946/678, 3731/599.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8946/678,3731/599
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 8946/678,3731/599, numerators are 8946,3731
Denominators are 678,599
The GCF of 8946,3731 is 7 .
LCM of 678,599 is 406122.
The greatest common factor of 8946/678,3731/599 = [GCF of 8946,3731]/[LCM of 678,599]= 7/406122
Therefore, the GCF of 8946/678,3731/599 is 7/406122.
To find the highest common factor of 8946,3731, we have to find the factors of both numbers and list the highest common factor.
The factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946
The factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731
The HCF of 8946,3731 is 7.
Lets's calculate GCF of 8946,3731
7 | 8946, 3731 |
1278, 533 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 8946
:1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946
Now, list down the factors of 3731
:1,7,13,41,91,287,533,3731
Greatest Common Factor
We found the factors 8946,3731 . The biggest common factor number is the GCF number.
So the greatest common factor 8946,3731 is 7.
Lets's calculate LCM of 678,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 406122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/406122
Therefore, the GCF of Fractions 8946/678,3731/599 is 7/406122
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 678,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,599) x common factors =1 x 1 = 1
LCM(678,599) = ( 678 × 599 ) / 1
LCM(678,599) = 406122 / 1
LCM(678,599) = 406122
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8946,3731?
The HCF of 8946,3731 is 7
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 8946/678, 3731/599?
Answer: GCF of Numerators as per given numbers 8946/678, 3731/599 is
GCF of Numerators i.e. for 8946,3731 is 7
LCM of denominators i.e. for 678,599 is 406122.
Thus, GCF of Fractions is 7/406122.Finally, GCF of Fractions for 8946/678, 3731/599 is 7/406122.