Use our free GCF of Fractions Calculator tool to compute the GCF of 3817/826, 5808/8153 i.e 11/6734378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3817/826, 5808/8153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3817/826,5808/8153
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 3817/826,5808/8153, numerators are 3817,5808
Denominators are 826,8153
The GCF of 3817,5808 is 11 .
LCM of 826,8153 is 6734378.
The greatest common factor of 3817/826,5808/8153 = [GCF of 3817,5808]/[LCM of 826,8153]= 11/6734378
Therefore, the GCF of 3817/826,5808/8153 is 11/6734378.
To find the highest common factor of 3817,5808, we have to find the factors of both numbers and list the highest common factor.
The factors of 3817 are 1, 11, 347, 3817
The factors of 5808 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808
The HCF of 3817,5808 is 11.
Lets's calculate GCF of 3817,5808
11 | 3817, 5808 |
347, 528 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 3817
:1,11,347,3817
Now, list down the factors of 5808
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808
Greatest Common Factor
We found the factors 3817,5808 . The biggest common factor number is the GCF number.
So the greatest common factor 3817,5808 is 11.
Lets's calculate LCM of 826,8153
Given numbers has no common factors except 1. So, there LCM is their product i.e 6734378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6734378
Therefore, the GCF of Fractions 3817/826,5808/8153 is 11/6734378
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 826,8153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,8153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,8153) x common factors =1 x 1 = 1
LCM(826,8153) = ( 826 × 8153 ) / 1
LCM(826,8153) = 6734378 / 1
LCM(826,8153) = 6734378
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3817,5808?
The HCF of 3817,5808 is 11
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 3817/826, 5808/8153?
Answer: GCF of Numerators as per given numbers 3817/826, 5808/8153 is
GCF of Numerators i.e. for 3817,5808 is 11
LCM of denominators i.e. for 826,8153 is 6734378.
Thus, GCF of Fractions is 11/6734378.Finally, GCF of Fractions for 3817/826, 5808/8153 is 11/6734378.