Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/95,477/46,634/89
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 830,477,634
Greatest Common Factor of Numerators i.e. GCF of 830,477,634 is 1 .
LCM of Denominators means LCM of 95,46,89 as per the given fractions.
LCM of 95,46,89 is 388930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 830,477,634
∴ So GCF of numbers is 1 because of no common factors present between them.
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 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 830,477,634 . The biggest common factor number is the GCF number.
So the greatest common factor 830,477,634 is 1.
Lets's calculate LCM of 95,46,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 388930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388930
Therefore, the GCF of Fractions 830/95,477/46,634/89 is 1/388930
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 95,46,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,46,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,46,89) x common factors =1 x 1 = 1
LCM(95,46,89) = ( 95 × 46 × 89 ) / 1
LCM(95,46,89) = 388930 / 1
LCM(95,46,89) = 388930
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 830/95, 477/46, 634/89?
Answer: GCF of Numerators as per given numbers 830/95, 477/46, 634/89 is
GCF of Numerators i.e. for 830,477,634 is 1
LCM of denominators i.e. for 95,46,89 is 388930.
Thus, GCF of Fractions is 1/388930.Finally, GCF of Fractions for 830/95, 477/46, 634/89 is 1/388930.