Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/952,830/571,131/450
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 494,830,131
Greatest Common Factor of Numerators i.e. GCF of 494,830,131 is 1 .
LCM of Denominators means LCM of 952,571,450 as per the given fractions.
LCM of 952,571,450 is 122308200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,830,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 494,830,131 . The biggest common factor number is the GCF number.
So the greatest common factor 494,830,131 is 1.
Lets's calculate LCM of 952,571,450
2 | 952, 571, 450 |
476, 571, 225 |
∴ So the LCM of the given numbers is 2 x 476 x 571 x 225 = 122308200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122308200
Therefore, the GCF of Fractions 494/952,830/571,131/450 is 1/122308200
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 952,571,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,571,450) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(952,571,450) x common factors =1 x 2 = 2
LCM(952,571,450) = ( 952 × 571 × 450 ) / 2
LCM(952,571,450) = 244616400 / 2
LCM(952,571,450) = 122308200
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 494/952, 830/571, 131/450?
Answer: GCF of Numerators as per given numbers 494/952, 830/571, 131/450 is
GCF of Numerators i.e. for 494,830,131 is 1
LCM of denominators i.e. for 952,571,450 is 122308200.
Thus, GCF of Fractions is 1/122308200.Finally, GCF of Fractions for 494/952, 830/571, 131/450 is 1/122308200.