Use our free GCF of Fractions Calculator tool to compute the GCF of 3212/105, 5932/3593 i.e 4/377265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3212/105, 5932/3593.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3212/105,5932/3593
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 3212/105,5932/3593, numerators are 3212,5932
Denominators are 105,3593
The GCF of 3212,5932 is 4 .
LCM of 105,3593 is 377265.
The greatest common factor of 3212/105,5932/3593 = [GCF of 3212,5932]/[LCM of 105,3593]= 4/377265
Therefore, the GCF of 3212/105,5932/3593 is 4/377265.
To find the highest common factor of 3212,5932, we have to find the factors of both numbers and list the highest common factor.
The factors of 3212 are 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212
The factors of 5932 are 1, 2, 4, 1483, 2966, 5932
The HCF of 3212,5932 is 4.
Lets's calculate GCF of 3212,5932
2 | 3212, 5932 |
2 | 1606, 2966 |
803, 1483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 3212
:1,2,4,11,22,44,73,146,292,803,1606,3212
Now, list down the factors of 5932
:1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors 3212,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 3212,5932 is 4.
Lets's calculate LCM of 105,3593
Given numbers has no common factors except 1. So, there LCM is their product i.e 377265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/377265
Therefore, the GCF of Fractions 3212/105,5932/3593 is 4/377265
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 105,3593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,3593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,3593) x common factors =1 x 1 = 1
LCM(105,3593) = ( 105 × 3593 ) / 1
LCM(105,3593) = 377265 / 1
LCM(105,3593) = 377265
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3212,5932?
The HCF of 3212,5932 is 4
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 3212/105, 5932/3593?
Answer: GCF of Numerators as per given numbers 3212/105, 5932/3593 is
GCF of Numerators i.e. for 3212,5932 is 4
LCM of denominators i.e. for 105,3593 is 377265.
Thus, GCF of Fractions is 4/377265.Finally, GCF of Fractions for 3212/105, 5932/3593 is 4/377265.