Use our free GCF of Fractions Calculator tool to compute the GCF of 396/947, 470/788 i.e 2/746236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/947, 470/788.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/947,470/788
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 396/947,470/788, numerators are 396,470
Denominators are 947,788
The GCF of 396,470 is 2 .
LCM of 947,788 is 746236.
The greatest common factor of 396/947,470/788 = [GCF of 396,470]/[LCM of 947,788]= 2/746236
Therefore, the GCF of 396/947,470/788 is 2/746236.
To find the highest common factor of 396,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 396,470 is 2.
Lets's calculate GCF of 396,470
2 | 396, 470 |
198, 235 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 396,470 . The biggest common factor number is the GCF number.
So the greatest common factor 396,470 is 2.
Lets's calculate LCM of 947,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 746236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/746236
Therefore, the GCF of Fractions 396/947,470/788 is 2/746236
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 947,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,788) x common factors =1 x 1 = 1
LCM(947,788) = ( 947 × 788 ) / 1
LCM(947,788) = 746236 / 1
LCM(947,788) = 746236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 396,470?
The HCF of 396,470 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 396/947, 470/788?
Answer: GCF of Numerators as per given numbers 396/947, 470/788 is
GCF of Numerators i.e. for 396,470 is 2
LCM of denominators i.e. for 947,788 is 746236.
Thus, GCF of Fractions is 2/746236.Finally, GCF of Fractions for 396/947, 470/788 is 2/746236.