Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/982,5780/8777
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 34,5780
Greatest Common Factor of Numerators i.e. GCF of 34,5780 is 34 .
LCM of Denominators means LCM of 982,8777 as per the given fractions.
LCM of 982,8777 is 8619014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,5780
2 | 34, 5780 |
17 | 17, 2890 |
1, 170 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 5780
List of positive integer factors of 5780 that divides 5780 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 34,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5780 is 34.
Lets's calculate LCM of 982,8777
Given numbers has no common factors except 1. So, there LCM is their product i.e 8619014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/8619014
Therefore, the GCF of Fractions 34/982,5780/8777 is 34/8619014
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 982,8777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,8777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,8777) x common factors =1 x 1 = 1
LCM(982,8777) = ( 982 × 8777 ) / 1
LCM(982,8777) = 8619014 / 1
LCM(982,8777) = 8619014
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 34/982, 5780/8777?
Answer: GCF of Numerators as per given numbers 34/982, 5780/8777 is
GCF of Numerators i.e. for 34,5780 is 34
LCM of denominators i.e. for 982,8777 is 8619014.
Thus, GCF of Fractions is 34/8619014.Finally, GCF of Fractions for 34/982, 5780/8777 is 34/8619014.