Use our free GCF of Fractions Calculator tool to compute the GCF of 7894/347, 8430/4567 i.e 2/1584749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7894/347, 8430/4567.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7894/347,8430/4567
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 7894/347,8430/4567, numerators are 7894,8430
Denominators are 347,4567
The GCF of 7894,8430 is 2 .
LCM of 347,4567 is 1584749.
The greatest common factor of 7894/347,8430/4567 = [GCF of 7894,8430]/[LCM of 347,4567]= 2/1584749
Therefore, the GCF of 7894/347,8430/4567 is 2/1584749.
To find the highest common factor of 7894,8430, we have to find the factors of both numbers and list the highest common factor.
The factors of 7894 are 1, 2, 3947, 7894
The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430
The HCF of 7894,8430 is 2.
Lets's calculate GCF of 7894,8430
2 | 7894, 8430 |
3947, 4215 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7894
:1,2,3947,7894
Now, list down the factors of 8430
:1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 7894,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 7894,8430 is 2.
Lets's calculate LCM of 347,4567
Given numbers has no common factors except 1. So, there LCM is their product i.e 1584749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1584749
Therefore, the GCF of Fractions 7894/347,8430/4567 is 2/1584749
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 347,4567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,4567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,4567) x common factors =1 x 1 = 1
LCM(347,4567) = ( 347 × 4567 ) / 1
LCM(347,4567) = 1584749 / 1
LCM(347,4567) = 1584749
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7894,8430?
The HCF of 7894,8430 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 7894/347, 8430/4567?
Answer: GCF of Numerators as per given numbers 7894/347, 8430/4567 is
GCF of Numerators i.e. for 7894,8430 is 2
LCM of denominators i.e. for 347,4567 is 1584749.
Thus, GCF of Fractions is 2/1584749.Finally, GCF of Fractions for 7894/347, 8430/4567 is 2/1584749.