Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/74,726/1078
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 396,726
Greatest Common Factor of Numerators i.e. GCF of 396,726 is 66 .
LCM of Denominators means LCM of 74,1078 as per the given fractions.
LCM of 74,1078 is 39886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,726
2 | 396, 726 |
3 | 198, 363 |
11 | 66, 121 |
6, 11 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 396,726 . The biggest common factor number is the GCF number.
So the greatest common factor 396,726 is 66.
Lets's calculate LCM of 74,1078
2 | 74, 1078 |
37, 539 |
∴ So the LCM of the given numbers is 2 x 37 x 539 = 39886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/39886
Therefore, the GCF of Fractions 396/74,726/1078 is 66/39886
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 74,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,1078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,1078) x common factors =2 x 1 = 2
LCM(74,1078) = ( 74 × 1078 ) / 2
LCM(74,1078) = 79772 / 2
LCM(74,1078) = 39886
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 396/74, 726/1078?
Answer: GCF of Numerators as per given numbers 396/74, 726/1078 is
GCF of Numerators i.e. for 396,726 is 66
LCM of denominators i.e. for 74,1078 is 39886.
Thus, GCF of Fractions is 66/39886.Finally, GCF of Fractions for 396/74, 726/1078 is 66/39886.