Use our free GCF of Fractions Calculator tool to compute the GCF of 112/623, 818/182 i.e 2/16198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 112/623, 818/182.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 112/623,818/182
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 112/623,818/182, numerators are 112,818
Denominators are 623,182
The GCF of 112,818 is 2 .
LCM of 623,182 is 16198.
The greatest common factor of 112/623,818/182 = [GCF of 112,818]/[LCM of 623,182]= 2/16198
Therefore, the GCF of 112/623,818/182 is 2/16198.
To find the highest common factor of 112,818, we have to find the factors of both numbers and list the highest common factor.
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The factors of 818 are 1, 2, 409, 818
The HCF of 112,818 is 2.
Lets's calculate GCF of 112,818
2 | 112, 818 |
56, 409 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Now, list down the factors of 818
:1,2,409,818
Greatest Common Factor
We found the factors 112,818 . The biggest common factor number is the GCF number.
So the greatest common factor 112,818 is 2.
Lets's calculate LCM of 623,182
7 | 623, 182 |
89, 26 |
∴ So the LCM of the given numbers is 7 x 89 x 26 = 16198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16198
Therefore, the GCF of Fractions 112/623,818/182 is 2/16198
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 623,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,182) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,182) x common factors =7 x 1 = 7
LCM(623,182) = ( 623 × 182 ) / 7
LCM(623,182) = 113386 / 7
LCM(623,182) = 16198
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 112,818?
The HCF of 112,818 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 112/623, 818/182?
Answer: GCF of Numerators as per given numbers 112/623, 818/182 is
GCF of Numerators i.e. for 112,818 is 2
LCM of denominators i.e. for 623,182 is 16198.
Thus, GCF of Fractions is 2/16198.Finally, GCF of Fractions for 112/623, 818/182 is 2/16198.