Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/96,513/42,910/784
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 411,513,910
Greatest Common Factor of Numerators i.e. GCF of 411,513,910 is 1 .
LCM of Denominators means LCM of 96,42,784 as per the given fractions.
LCM of 96,42,784 is 4704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,513,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 411,513,910 . The biggest common factor number is the GCF number.
So the greatest common factor 411,513,910 is 1.
Lets's calculate LCM of 96,42,784
2 | 96, 42, 784 |
2 | 48, 21, 392 |
2 | 24, 21, 196 |
2 | 12, 21, 98 |
3 | 6, 21, 49 |
7 | 2, 7, 49 |
2, 1, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 1 x 7 = 4704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4704
Therefore, the GCF of Fractions 411/96,513/42,910/784 is 1/4704
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 96,42,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,42,784) = 2
common factors(in case of two or more numbers have common factors) = 336
GCF(96,42,784) x common factors =2 x 336 = 672
LCM(96,42,784) = ( 96 × 42 × 784 ) / 672
LCM(96,42,784) = 3161088 / 672
LCM(96,42,784) = 4704
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 411/96, 513/42, 910/784?
Answer: GCF of Numerators as per given numbers 411/96, 513/42, 910/784 is
GCF of Numerators i.e. for 411,513,910 is 1
LCM of denominators i.e. for 96,42,784 is 4704.
Thus, GCF of Fractions is 1/4704.Finally, GCF of Fractions for 411/96, 513/42, 910/784 is 1/4704.