Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/396,86/198,804/937
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 93,86,804
Greatest Common Factor of Numerators i.e. GCF of 93,86,804 is 1 .
LCM of Denominators means LCM of 396,198,937 as per the given fractions.
LCM of 396,198,937 is 371052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,86,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 93,86,804 . The biggest common factor number is the GCF number.
So the greatest common factor 93,86,804 is 1.
Lets's calculate LCM of 396,198,937
2 | 396, 198, 937 |
3 | 198, 99, 937 |
3 | 66, 33, 937 |
11 | 22, 11, 937 |
2, 1, 937 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 2 x 1 x 937 = 371052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371052
Therefore, the GCF of Fractions 93/396,86/198,804/937 is 1/371052
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 396,198,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,198,937) = 1
common factors(in case of two or more numbers have common factors) = 198
GCF(396,198,937) x common factors =1 x 198 = 198
LCM(396,198,937) = ( 396 × 198 × 937 ) / 198
LCM(396,198,937) = 73468296 / 198
LCM(396,198,937) = 371052
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 93/396, 86/198, 804/937?
Answer: GCF of Numerators as per given numbers 93/396, 86/198, 804/937 is
GCF of Numerators i.e. for 93,86,804 is 1
LCM of denominators i.e. for 396,198,937 is 371052.
Thus, GCF of Fractions is 1/371052.Finally, GCF of Fractions for 93/396, 86/198, 804/937 is 1/371052.