Use our free GCF of Fractions Calculator tool to compute the GCF of 3307/980, 3136/7268 i.e 1/1780660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3307/980, 3136/7268.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3307/980,3136/7268
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 3307/980,3136/7268, numerators are 3307,3136
Denominators are 980,7268
The GCF of 3307,3136 is 1 .
LCM of 980,7268 is 1780660.
The greatest common factor of 3307/980,3136/7268 = [GCF of 3307,3136]/[LCM of 980,7268]= 1/1780660
Therefore, the GCF of 3307/980,3136/7268 is 1/1780660.
To find the highest common factor of 3307,3136, we have to find the factors of both numbers and list the highest common factor.
The factors of 3307 are 1, 3307
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The HCF of 3307,3136 is 1.
Lets's calculate GCF of 3307,3136
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3307
:1,3307
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Greatest Common Factor
We found the factors 3307,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 3307,3136 is 1.
Lets's calculate LCM of 980,7268
2 | 980, 7268 |
2 | 490, 3634 |
245, 1817 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 1817 = 1780660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780660
Therefore, the GCF of Fractions 3307/980,3136/7268 is 1/1780660
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 980,7268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,7268) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,7268) x common factors =4 x 1 = 4
LCM(980,7268) = ( 980 × 7268 ) / 4
LCM(980,7268) = 7122640 / 4
LCM(980,7268) = 1780660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3307,3136?
The HCF of 3307,3136 is 1
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 3307/980, 3136/7268?
Answer: GCF of Numerators as per given numbers 3307/980, 3136/7268 is
GCF of Numerators i.e. for 3307,3136 is 1
LCM of denominators i.e. for 980,7268 is 1780660.
Thus, GCF of Fractions is 1/1780660.Finally, GCF of Fractions for 3307/980, 3136/7268 is 1/1780660.