Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/40,976/81,757/51
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 3,976,757
Greatest Common Factor of Numerators i.e. GCF of 3,976,757 is 1 .
LCM of Denominators means LCM of 40,81,51 as per the given fractions.
LCM of 40,81,51 is 55080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,976,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 3,976,757 . The biggest common factor number is the GCF number.
So the greatest common factor 3,976,757 is 1.
Lets's calculate LCM of 40,81,51
3 | 40, 81, 51 |
40, 27, 17 |
∴ So the LCM of the given numbers is 3 x 40 x 27 x 17 = 55080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55080
Therefore, the GCF of Fractions 3/40,976/81,757/51 is 1/55080
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 40,81,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,81,51) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(40,81,51) x common factors =1 x 3 = 3
LCM(40,81,51) = ( 40 × 81 × 51 ) / 3
LCM(40,81,51) = 165240 / 3
LCM(40,81,51) = 55080
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 3/40, 976/81, 757/51?
Answer: GCF of Numerators as per given numbers 3/40, 976/81, 757/51 is
GCF of Numerators i.e. for 3,976,757 is 1
LCM of denominators i.e. for 40,81,51 is 55080.
Thus, GCF of Fractions is 1/55080.Finally, GCF of Fractions for 3/40, 976/81, 757/51 is 1/55080.