Use our free GCF of Fractions Calculator tool to compute the GCF of 6650/514, 1844/9207 i.e 2/4732398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6650/514, 1844/9207.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6650/514,1844/9207
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 6650/514,1844/9207, numerators are 6650,1844
Denominators are 514,9207
The GCF of 6650,1844 is 2 .
LCM of 514,9207 is 4732398.
The greatest common factor of 6650/514,1844/9207 = [GCF of 6650,1844]/[LCM of 514,9207]= 2/4732398
Therefore, the GCF of 6650/514,1844/9207 is 2/4732398.
To find the highest common factor of 6650,1844, we have to find the factors of both numbers and list the highest common factor.
The factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650
The factors of 1844 are 1, 2, 4, 461, 922, 1844
The HCF of 6650,1844 is 2.
Lets's calculate GCF of 6650,1844
2 | 6650, 1844 |
3325, 922 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6650
:1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650
Now, list down the factors of 1844
:1,2,4,461,922,1844
Greatest Common Factor
We found the factors 6650,1844 . The biggest common factor number is the GCF number.
So the greatest common factor 6650,1844 is 2.
Lets's calculate LCM of 514,9207
Given numbers has no common factors except 1. So, there LCM is their product i.e 4732398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4732398
Therefore, the GCF of Fractions 6650/514,1844/9207 is 2/4732398
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 514,9207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9207) x common factors =1 x 1 = 1
LCM(514,9207) = ( 514 × 9207 ) / 1
LCM(514,9207) = 4732398 / 1
LCM(514,9207) = 4732398
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6650,1844?
The HCF of 6650,1844 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 6650/514, 1844/9207?
Answer: GCF of Numerators as per given numbers 6650/514, 1844/9207 is
GCF of Numerators i.e. for 6650,1844 is 2
LCM of denominators i.e. for 514,9207 is 4732398.
Thus, GCF of Fractions is 2/4732398.Finally, GCF of Fractions for 6650/514, 1844/9207 is 2/4732398.