Use our free GCF of Fractions Calculator tool to compute the GCF of 64/39, 491/48, 804/202 i.e 1/63024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/39, 491/48, 804/202.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/39,491/48,804/202
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 64/39,491/48,804/202, numerators are 64,491,804
Denominators are 39,48,202
The GCF of 64,491,804 is 1 .
LCM of 39,48,202 is 63024.
The greatest common factor of 64/39,491/48,804/202 = [GCF of 64,491,804]/[LCM of 39,48,202]= 1/63024
Therefore, the GCF of 64/39,491/48,804/202 is 1/63024.
To find the highest common factor of 64,491,804, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 491 are 1, 491
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The HCF of 64,491,804 is 1.
Lets's calculate GCF of 64,491,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 491
:1,491
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 64,491,804 . The biggest common factor number is the GCF number.
So the greatest common factor 64,491,804 is 1.
Lets's calculate LCM of 39,48,202
2 | 39, 48, 202 |
3 | 39, 24, 101 |
13, 8, 101 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 101 = 63024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63024
Therefore, the GCF of Fractions 64/39,491/48,804/202 is 1/63024
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 39,48,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,48,202) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,48,202) x common factors =1 x 6 = 6
LCM(39,48,202) = ( 39 × 48 × 202 ) / 6
LCM(39,48,202) = 378144 / 6
LCM(39,48,202) = 63024
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 64,491,804?
The HCF of 64,491,804 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 64/39, 491/48, 804/202?
Answer: GCF of Numerators as per given numbers 64/39, 491/48, 804/202 is
GCF of Numerators i.e. for 64,491,804 is 1
LCM of denominators i.e. for 39,48,202 is 63024.
Thus, GCF of Fractions is 1/63024.Finally, GCF of Fractions for 64/39, 491/48, 804/202 is 1/63024.