Use our free GCF of Fractions Calculator tool to compute the GCF of 4372/213, 1994/623 i.e 2/132699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4372/213, 1994/623.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4372/213,1994/623
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 4372/213,1994/623, numerators are 4372,1994
Denominators are 213,623
The GCF of 4372,1994 is 2 .
LCM of 213,623 is 132699.
The greatest common factor of 4372/213,1994/623 = [GCF of 4372,1994]/[LCM of 213,623]= 2/132699
Therefore, the GCF of 4372/213,1994/623 is 2/132699.
To find the highest common factor of 4372,1994, we have to find the factors of both numbers and list the highest common factor.
The factors of 4372 are 1, 2, 4, 1093, 2186, 4372
The factors of 1994 are 1, 2, 997, 1994
The HCF of 4372,1994 is 2.
Lets's calculate GCF of 4372,1994
2 | 4372, 1994 |
2186, 997 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4372
:1,2,4,1093,2186,4372
Now, list down the factors of 1994
:1,2,997,1994
Greatest Common Factor
We found the factors 4372,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 4372,1994 is 2.
Lets's calculate LCM of 213,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 132699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132699
Therefore, the GCF of Fractions 4372/213,1994/623 is 2/132699
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 213,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,623) x common factors =1 x 1 = 1
LCM(213,623) = ( 213 × 623 ) / 1
LCM(213,623) = 132699 / 1
LCM(213,623) = 132699
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4372,1994?
The HCF of 4372,1994 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 4372/213, 1994/623?
Answer: GCF of Numerators as per given numbers 4372/213, 1994/623 is
GCF of Numerators i.e. for 4372,1994 is 2
LCM of denominators i.e. for 213,623 is 132699.
Thus, GCF of Fractions is 2/132699.Finally, GCF of Fractions for 4372/213, 1994/623 is 2/132699.