Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 865/50,558/54,469/743
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 865,558,469
Greatest Common Factor of Numerators i.e. GCF of 865,558,469 is 1 .
LCM of Denominators means LCM of 50,54,743 as per the given fractions.
LCM of 50,54,743 is 1003050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 865,558,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 865,558,469 . The biggest common factor number is the GCF number.
So the greatest common factor 865,558,469 is 1.
Lets's calculate LCM of 50,54,743
2 | 50, 54, 743 |
25, 27, 743 |
∴ So the LCM of the given numbers is 2 x 25 x 27 x 743 = 1003050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1003050
Therefore, the GCF of Fractions 865/50,558/54,469/743 is 1/1003050
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 50,54,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,54,743) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,54,743) x common factors =1 x 2 = 2
LCM(50,54,743) = ( 50 × 54 × 743 ) / 2
LCM(50,54,743) = 2006100 / 2
LCM(50,54,743) = 1003050
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 865/50, 558/54, 469/743?
Answer: GCF of Numerators as per given numbers 865/50, 558/54, 469/743 is
GCF of Numerators i.e. for 865,558,469 is 1
LCM of denominators i.e. for 50,54,743 is 1003050.
Thus, GCF of Fractions is 1/1003050.Finally, GCF of Fractions for 865/50, 558/54, 469/743 is 1/1003050.