Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/50,786/82,443/50
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 934,786,443
Greatest Common Factor of Numerators i.e. GCF of 934,786,443 is 1 .
LCM of Denominators means LCM of 50,82,50 as per the given fractions.
LCM of 50,82,50 is 2050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,786,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 934,786,443 . The biggest common factor number is the GCF number.
So the greatest common factor 934,786,443 is 1.
Lets's calculate LCM of 50,82,50
2 | 50, 82, 50 |
5 | 25, 41, 25 |
5 | 5, 41, 5 |
1, 41, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 41 x 1 = 2050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2050
Therefore, the GCF of Fractions 934/50,786/82,443/50 is 1/2050
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 50,82,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,82,50) = 2
common factors(in case of two or more numbers have common factors) = 50
GCF(50,82,50) x common factors =2 x 50 = 100
LCM(50,82,50) = ( 50 × 82 × 50 ) / 100
LCM(50,82,50) = 205000 / 100
LCM(50,82,50) = 2050
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 934/50, 786/82, 443/50?
Answer: GCF of Numerators as per given numbers 934/50, 786/82, 443/50 is
GCF of Numerators i.e. for 934,786,443 is 1
LCM of denominators i.e. for 50,82,50 is 2050.
Thus, GCF of Fractions is 1/2050.Finally, GCF of Fractions for 934/50, 786/82, 443/50 is 1/2050.