Use our free GCF of Fractions Calculator tool to compute the GCF of 1136/968, 3766/5812 i.e 2/1406504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1136/968, 3766/5812.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1136/968,3766/5812
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 1136/968,3766/5812, numerators are 1136,3766
Denominators are 968,5812
The GCF of 1136,3766 is 2 .
LCM of 968,5812 is 1406504.
The greatest common factor of 1136/968,3766/5812 = [GCF of 1136,3766]/[LCM of 968,5812]= 2/1406504
Therefore, the GCF of 1136/968,3766/5812 is 2/1406504.
To find the highest common factor of 1136,3766, we have to find the factors of both numbers and list the highest common factor.
The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The HCF of 1136,3766 is 2.
Lets's calculate GCF of 1136,3766
2 | 1136, 3766 |
568, 1883 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1136
:1,2,4,8,16,71,142,284,568,1136
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Greatest Common Factor
We found the factors 1136,3766 . The biggest common factor number is the GCF number.
So the greatest common factor 1136,3766 is 2.
Lets's calculate LCM of 968,5812
2 | 968, 5812 |
2 | 484, 2906 |
242, 1453 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 1453 = 1406504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1406504
Therefore, the GCF of Fractions 1136/968,3766/5812 is 2/1406504
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 968,5812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,5812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,5812) x common factors =4 x 1 = 4
LCM(968,5812) = ( 968 × 5812 ) / 4
LCM(968,5812) = 5626016 / 4
LCM(968,5812) = 1406504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1136,3766?
The HCF of 1136,3766 is 2
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 1136/968, 3766/5812?
Answer: GCF of Numerators as per given numbers 1136/968, 3766/5812 is
GCF of Numerators i.e. for 1136,3766 is 2
LCM of denominators i.e. for 968,5812 is 1406504.
Thus, GCF of Fractions is 2/1406504.Finally, GCF of Fractions for 1136/968, 3766/5812 is 2/1406504.