Use our free GCF of Fractions Calculator tool to compute the GCF of 392/18, 644/7541 i.e 28/135738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/18, 644/7541.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 392/18,644/7541
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 392/18,644/7541, numerators are 392,644
Denominators are 18,7541
The GCF of 392,644 is 28 .
LCM of 18,7541 is 135738.
The greatest common factor of 392/18,644/7541 = [GCF of 392,644]/[LCM of 18,7541]= 28/135738
Therefore, the GCF of 392/18,644/7541 is 28/135738.
To find the highest common factor of 392,644, we have to find the factors of both numbers and list the highest common factor.
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The HCF of 392,644 is 28.
Lets's calculate GCF of 392,644
2 | 392, 644 |
2 | 196, 322 |
7 | 98, 161 |
14, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 392,644 . The biggest common factor number is the GCF number.
So the greatest common factor 392,644 is 28.
Lets's calculate LCM of 18,7541
Given numbers has no common factors except 1. So, there LCM is their product i.e 135738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/135738
Therefore, the GCF of Fractions 392/18,644/7541 is 28/135738
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 18,7541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,7541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,7541) x common factors =1 x 1 = 1
LCM(18,7541) = ( 18 × 7541 ) / 1
LCM(18,7541) = 135738 / 1
LCM(18,7541) = 135738
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 392,644?
The HCF of 392,644 is 28
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 392/18, 644/7541?
Answer: GCF of Numerators as per given numbers 392/18, 644/7541 is
GCF of Numerators i.e. for 392,644 is 28
LCM of denominators i.e. for 18,7541 is 135738.
Thus, GCF of Fractions is 28/135738.Finally, GCF of Fractions for 392/18, 644/7541 is 28/135738.