Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/40,66/72,971/286
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 43,66,971
Greatest Common Factor of Numerators i.e. GCF of 43,66,971 is 1 .
LCM of Denominators means LCM of 40,72,286 as per the given fractions.
LCM of 40,72,286 is 51480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,66,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 43,66,971 . The biggest common factor number is the GCF number.
So the greatest common factor 43,66,971 is 1.
Lets's calculate LCM of 40,72,286
2 | 40, 72, 286 |
2 | 20, 36, 143 |
2 | 10, 18, 143 |
5, 9, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 9 x 143 = 51480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51480
Therefore, the GCF of Fractions 43/40,66/72,971/286 is 1/51480
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 40,72,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,72,286) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(40,72,286) x common factors =2 x 8 = 16
LCM(40,72,286) = ( 40 × 72 × 286 ) / 16
LCM(40,72,286) = 823680 / 16
LCM(40,72,286) = 51480
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 43/40, 66/72, 971/286?
Answer: GCF of Numerators as per given numbers 43/40, 66/72, 971/286 is
GCF of Numerators i.e. for 43,66,971 is 1
LCM of denominators i.e. for 40,72,286 is 51480.
Thus, GCF of Fractions is 1/51480.Finally, GCF of Fractions for 43/40, 66/72, 971/286 is 1/51480.