Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/61,40/61,28/690,431/230
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 3,40,28,431
Greatest Common Factor of Numerators i.e. GCF of 3,40,28,431 is 1 .
LCM of Denominators means LCM of 61,61,690,230 as per the given fractions.
LCM of 61,61,690,230 is 42090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,40,28,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 3,40,28,431 . The biggest common factor number is the GCF number.
So the greatest common factor 3,40,28,431 is 1.
Lets's calculate LCM of 61,61,690,230
2 | 61, 61, 690, 230 |
5 | 61, 61, 345, 115 |
23 | 61, 61, 69, 23 |
61 | 61, 61, 3, 1 |
1, 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 61 x 1 x 1 x 3 x 1 = 42090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42090
Therefore, the GCF of Fractions 3/61,40/61,28/690,431/230 is 1/42090
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 61,61,690,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,61,690,230) = 1
common factors(in case of two or more numbers have common factors) = 14030
GCF(61,61,690,230) x common factors =1 x 14030 = 14030
LCM(61,61,690,230) = ( 61 × 61 × 690 × 230 ) / 14030
LCM(61,61,690,230) = 590522700 / 14030
LCM(61,61,690,230) = 42090
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 3/61, 40/61, 28/690, 431/230?
Answer: GCF of Numerators as per given numbers 3/61, 40/61, 28/690, 431/230 is
GCF of Numerators i.e. for 3,40,28,431 is 1
LCM of denominators i.e. for 61,61,690,230 is 42090.
Thus, GCF of Fractions is 1/42090.Finally, GCF of Fractions for 3/61, 40/61, 28/690, 431/230 is 1/42090.