Use our free GCF of Fractions Calculator tool to compute the GCF of 3074/222, 1162/990 i.e 2/36630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3074/222, 1162/990.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3074/222,1162/990
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 3074/222,1162/990, numerators are 3074,1162
Denominators are 222,990
The GCF of 3074,1162 is 2 .
LCM of 222,990 is 36630.
The greatest common factor of 3074/222,1162/990 = [GCF of 3074,1162]/[LCM of 222,990]= 2/36630
Therefore, the GCF of 3074/222,1162/990 is 2/36630.
To find the highest common factor of 3074,1162, we have to find the factors of both numbers and list the highest common factor.
The factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074
The factors of 1162 are 1, 2, 7, 14, 83, 166, 581, 1162
The HCF of 3074,1162 is 2.
Lets's calculate GCF of 3074,1162
2 | 3074, 1162 |
1537, 581 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3074
:1,2,29,53,58,106,1537,3074
Now, list down the factors of 1162
:1,2,7,14,83,166,581,1162
Greatest Common Factor
We found the factors 3074,1162 . The biggest common factor number is the GCF number.
So the greatest common factor 3074,1162 is 2.
Lets's calculate LCM of 222,990
2 | 222, 990 |
3 | 111, 495 |
37, 165 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 165 = 36630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36630
Therefore, the GCF of Fractions 3074/222,1162/990 is 2/36630
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 222,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,990) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(222,990) x common factors =6 x 1 = 6
LCM(222,990) = ( 222 × 990 ) / 6
LCM(222,990) = 219780 / 6
LCM(222,990) = 36630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3074,1162?
The HCF of 3074,1162 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 3074/222, 1162/990?
Answer: GCF of Numerators as per given numbers 3074/222, 1162/990 is
GCF of Numerators i.e. for 3074,1162 is 2
LCM of denominators i.e. for 222,990 is 36630.
Thus, GCF of Fractions is 2/36630.Finally, GCF of Fractions for 3074/222, 1162/990 is 2/36630.