Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/54,56/84,416/908
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 46,56,416
Greatest Common Factor of Numerators i.e. GCF of 46,56,416 is 2 .
LCM of Denominators means LCM of 54,84,908 as per the given fractions.
LCM of 54,84,908 is 171612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,56,416
2 | 46, 56, 416 |
23, 28, 208 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 46,56,416 . The biggest common factor number is the GCF number.
So the greatest common factor 46,56,416 is 2.
Lets's calculate LCM of 54,84,908
2 | 54, 84, 908 |
2 | 27, 42, 454 |
3 | 27, 21, 227 |
9, 7, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 7 x 227 = 171612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171612
Therefore, the GCF of Fractions 46/54,56/84,416/908 is 2/171612
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 54,84,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,84,908) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(54,84,908) x common factors =2 x 12 = 24
LCM(54,84,908) = ( 54 × 84 × 908 ) / 24
LCM(54,84,908) = 4118688 / 24
LCM(54,84,908) = 171612
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 46/54, 56/84, 416/908?
Answer: GCF of Numerators as per given numbers 46/54, 56/84, 416/908 is
GCF of Numerators i.e. for 46,56,416 is 2
LCM of denominators i.e. for 54,84,908 is 171612.
Thus, GCF of Fractions is 2/171612.Finally, GCF of Fractions for 46/54, 56/84, 416/908 is 2/171612.