Use our free GCF of Fractions Calculator tool to compute the GCF of 392/976, 8627/1832 i.e 1/223504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/976, 8627/1832.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 392/976,8627/1832
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 392/976,8627/1832, numerators are 392,8627
Denominators are 976,1832
The GCF of 392,8627 is 1 .
LCM of 976,1832 is 223504.
The greatest common factor of 392/976,8627/1832 = [GCF of 392,8627]/[LCM of 976,1832]= 1/223504
Therefore, the GCF of 392/976,8627/1832 is 1/223504.
To find the highest common factor of 392,8627, 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 8627 are 1, 8627
The HCF of 392,8627 is 1.
Lets's calculate GCF of 392,8627
∴ So GCF of numbers is 1 because of no common factors present between them.
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 8627
:1,8627
Greatest Common Factor
We found the factors 392,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 392,8627 is 1.
Lets's calculate LCM of 976,1832
2 | 976, 1832 |
2 | 488, 916 |
2 | 244, 458 |
122, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 229 = 223504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223504
Therefore, the GCF of Fractions 392/976,8627/1832 is 1/223504
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 976,1832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,1832) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(976,1832) x common factors =8 x 1 = 8
LCM(976,1832) = ( 976 × 1832 ) / 8
LCM(976,1832) = 1788032 / 8
LCM(976,1832) = 223504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 392,8627?
The HCF of 392,8627 is 1
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 392/976, 8627/1832?
Answer: GCF of Numerators as per given numbers 392/976, 8627/1832 is
GCF of Numerators i.e. for 392,8627 is 1
LCM of denominators i.e. for 976,1832 is 223504.
Thus, GCF of Fractions is 1/223504.Finally, GCF of Fractions for 392/976, 8627/1832 is 1/223504.