Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/50,611/13,430/660
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 141,611,430
Greatest Common Factor of Numerators i.e. GCF of 141,611,430 is 1 .
LCM of Denominators means LCM of 50,13,660 as per the given fractions.
LCM of 50,13,660 is 42900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 141,611,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 141,611,430 . The biggest common factor number is the GCF number.
So the greatest common factor 141,611,430 is 1.
Lets's calculate LCM of 50,13,660
2 | 50, 13, 660 |
5 | 25, 13, 330 |
5, 13, 66 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 13 x 66 = 42900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42900
Therefore, the GCF of Fractions 141/50,611/13,430/660 is 1/42900
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 50,13,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,13,660) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(50,13,660) x common factors =1 x 10 = 10
LCM(50,13,660) = ( 50 × 13 × 660 ) / 10
LCM(50,13,660) = 429000 / 10
LCM(50,13,660) = 42900
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 141/50, 611/13, 430/660?
Answer: GCF of Numerators as per given numbers 141/50, 611/13, 430/660 is
GCF of Numerators i.e. for 141,611,430 is 1
LCM of denominators i.e. for 50,13,660 is 42900.
Thus, GCF of Fractions is 1/42900.Finally, GCF of Fractions for 141/50, 611/13, 430/660 is 1/42900.