Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 784/13,937/55,345/814
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 784,937,345
Greatest Common Factor of Numerators i.e. GCF of 784,937,345 is 1 .
LCM of Denominators means LCM of 13,55,814 as per the given fractions.
LCM of 13,55,814 is 52910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 784,937,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 784,937,345 . The biggest common factor number is the GCF number.
So the greatest common factor 784,937,345 is 1.
Lets's calculate LCM of 13,55,814
11 | 13, 55, 814 |
13, 5, 74 |
∴ So the LCM of the given numbers is 11 x 13 x 5 x 74 = 52910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52910
Therefore, the GCF of Fractions 784/13,937/55,345/814 is 1/52910
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 13,55,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,55,814) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(13,55,814) x common factors =1 x 11 = 11
LCM(13,55,814) = ( 13 × 55 × 814 ) / 11
LCM(13,55,814) = 582010 / 11
LCM(13,55,814) = 52910
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 784/13, 937/55, 345/814?
Answer: GCF of Numerators as per given numbers 784/13, 937/55, 345/814 is
GCF of Numerators i.e. for 784,937,345 is 1
LCM of denominators i.e. for 13,55,814 is 52910.
Thus, GCF of Fractions is 1/52910.Finally, GCF of Fractions for 784/13, 937/55, 345/814 is 1/52910.