Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/31,96/55,807/51
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 36,96,807
Greatest Common Factor of Numerators i.e. GCF of 36,96,807 is 3 .
LCM of Denominators means LCM of 31,55,51 as per the given fractions.
LCM of 31,55,51 is 86955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,96,807
3 | 36, 96, 807 |
12, 32, 269 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
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 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 36,96,807 . The biggest common factor number is the GCF number.
So the greatest common factor 36,96,807 is 3.
Lets's calculate LCM of 31,55,51
Given numbers has no common factors except 1. So, there LCM is their product i.e 86955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86955
Therefore, the GCF of Fractions 36/31,96/55,807/51 is 3/86955
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 31,55,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,55,51) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,55,51) x common factors =1 x 1 = 1
LCM(31,55,51) = ( 31 × 55 × 51 ) / 1
LCM(31,55,51) = 86955 / 1
LCM(31,55,51) = 86955
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 36/31, 96/55, 807/51?
Answer: GCF of Numerators as per given numbers 36/31, 96/55, 807/51 is
GCF of Numerators i.e. for 36,96,807 is 3
LCM of denominators i.e. for 31,55,51 is 86955.
Thus, GCF of Fractions is 3/86955.Finally, GCF of Fractions for 36/31, 96/55, 807/51 is 3/86955.