Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/73,232/46,219/940
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 51,232,219
Greatest Common Factor of Numerators i.e. GCF of 51,232,219 is 1 .
LCM of Denominators means LCM of 73,46,940 as per the given fractions.
LCM of 73,46,940 is 1578260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,232,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 51,232,219 . The biggest common factor number is the GCF number.
So the greatest common factor 51,232,219 is 1.
Lets's calculate LCM of 73,46,940
2 | 73, 46, 940 |
73, 23, 470 |
∴ So the LCM of the given numbers is 2 x 73 x 23 x 470 = 1578260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1578260
Therefore, the GCF of Fractions 51/73,232/46,219/940 is 1/1578260
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 73,46,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,46,940) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,46,940) x common factors =1 x 2 = 2
LCM(73,46,940) = ( 73 × 46 × 940 ) / 2
LCM(73,46,940) = 3156520 / 2
LCM(73,46,940) = 1578260
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 51/73, 232/46, 219/940?
Answer: GCF of Numerators as per given numbers 51/73, 232/46, 219/940 is
GCF of Numerators i.e. for 51,232,219 is 1
LCM of denominators i.e. for 73,46,940 is 1578260.
Thus, GCF of Fractions is 1/1578260.Finally, GCF of Fractions for 51/73, 232/46, 219/940 is 1/1578260.