Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/97,96/10,621/887
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 12,96,621
Greatest Common Factor of Numerators i.e. GCF of 12,96,621 is 3 .
LCM of Denominators means LCM of 97,10,887 as per the given fractions.
LCM of 97,10,887 is 860390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,96,621
3 | 12, 96, 621 |
4, 32, 207 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 12,96,621 . The biggest common factor number is the GCF number.
So the greatest common factor 12,96,621 is 3.
Lets's calculate LCM of 97,10,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 860390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/860390
Therefore, the GCF of Fractions 12/97,96/10,621/887 is 3/860390
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 97,10,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,10,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,10,887) x common factors =1 x 1 = 1
LCM(97,10,887) = ( 97 × 10 × 887 ) / 1
LCM(97,10,887) = 860390 / 1
LCM(97,10,887) = 860390
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 12/97, 96/10, 621/887?
Answer: GCF of Numerators as per given numbers 12/97, 96/10, 621/887 is
GCF of Numerators i.e. for 12,96,621 is 3
LCM of denominators i.e. for 97,10,887 is 860390.
Thus, GCF of Fractions is 3/860390.Finally, GCF of Fractions for 12/97, 96/10, 621/887 is 3/860390.