Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 989/10,705/73,811/305
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 989,705,811
Greatest Common Factor of Numerators i.e. GCF of 989,705,811 is 1 .
LCM of Denominators means LCM of 10,73,305 as per the given fractions.
LCM of 10,73,305 is 44530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 989,705,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 989,705,811 . The biggest common factor number is the GCF number.
So the greatest common factor 989,705,811 is 1.
Lets's calculate LCM of 10,73,305
5 | 10, 73, 305 |
2, 73, 61 |
∴ So the LCM of the given numbers is 5 x 2 x 73 x 61 = 44530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44530
Therefore, the GCF of Fractions 989/10,705/73,811/305 is 1/44530
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 10,73,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,73,305) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(10,73,305) x common factors =1 x 5 = 5
LCM(10,73,305) = ( 10 × 73 × 305 ) / 5
LCM(10,73,305) = 222650 / 5
LCM(10,73,305) = 44530
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 989/10, 705/73, 811/305?
Answer: GCF of Numerators as per given numbers 989/10, 705/73, 811/305 is
GCF of Numerators i.e. for 989,705,811 is 1
LCM of denominators i.e. for 10,73,305 is 44530.
Thus, GCF of Fractions is 1/44530.Finally, GCF of Fractions for 989/10, 705/73, 811/305 is 1/44530.