Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/88,949/43,585/626
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 73,949,585
Greatest Common Factor of Numerators i.e. GCF of 73,949,585 is 1 .
LCM of Denominators means LCM of 88,43,626 as per the given fractions.
LCM of 88,43,626 is 1184392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,949,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 73,949,585 . The biggest common factor number is the GCF number.
So the greatest common factor 73,949,585 is 1.
Lets's calculate LCM of 88,43,626
2 | 88, 43, 626 |
44, 43, 313 |
∴ So the LCM of the given numbers is 2 x 44 x 43 x 313 = 1184392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1184392
Therefore, the GCF of Fractions 73/88,949/43,585/626 is 1/1184392
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 88,43,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,43,626) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,43,626) x common factors =1 x 2 = 2
LCM(88,43,626) = ( 88 × 43 × 626 ) / 2
LCM(88,43,626) = 2368784 / 2
LCM(88,43,626) = 1184392
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 73/88, 949/43, 585/626?
Answer: GCF of Numerators as per given numbers 73/88, 949/43, 585/626 is
GCF of Numerators i.e. for 73,949,585 is 1
LCM of denominators i.e. for 88,43,626 is 1184392.
Thus, GCF of Fractions is 1/1184392.Finally, GCF of Fractions for 73/88, 949/43, 585/626 is 1/1184392.