Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3177/50,4746/451
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 3177,4746
Greatest Common Factor of Numerators i.e. GCF of 3177,4746 is 3 .
LCM of Denominators means LCM of 50,451 as per the given fractions.
LCM of 50,451 is 22550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3177,4746
3 | 3177, 4746 |
1059, 1582 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3177
List of positive integer factors of 3177 that divides 3177 without a remainder.
1,3,9,353,1059,3177
Factors of 4746
List of positive integer factors of 4746 that divides 4746 without a remainder.
1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Greatest Common Factor
We found the factors 3177,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 3177,4746 is 3.
Lets's calculate LCM of 50,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 22550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22550
Therefore, the GCF of Fractions 3177/50,4746/451 is 3/22550
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 50,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,451) x common factors =1 x 1 = 1
LCM(50,451) = ( 50 × 451 ) / 1
LCM(50,451) = 22550 / 1
LCM(50,451) = 22550
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 3177/50, 4746/451?
Answer: GCF of Numerators as per given numbers 3177/50, 4746/451 is
GCF of Numerators i.e. for 3177,4746 is 3
LCM of denominators i.e. for 50,451 is 22550.
Thus, GCF of Fractions is 3/22550.Finally, GCF of Fractions for 3177/50, 4746/451 is 3/22550.