Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/164,784/132
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 811,784
Greatest Common Factor of Numerators i.e. GCF of 811,784 is 1 .
LCM of Denominators means LCM of 164,132 as per the given fractions.
LCM of 164,132 is 5412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,784
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
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
Greatest Common Factor
We found the factors 811,784 . The biggest common factor number is the GCF number.
So the greatest common factor 811,784 is 1.
Lets's calculate LCM of 164,132
2 | 164, 132 |
2 | 82, 66 |
41, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 33 = 5412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5412
Therefore, the GCF of Fractions 811/164,784/132 is 1/5412
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 164,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,132) x common factors =4 x 1 = 4
LCM(164,132) = ( 164 × 132 ) / 4
LCM(164,132) = 21648 / 4
LCM(164,132) = 5412
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 811/164, 784/132?
Answer: GCF of Numerators as per given numbers 811/164, 784/132 is
GCF of Numerators i.e. for 811,784 is 1
LCM of denominators i.e. for 164,132 is 5412.
Thus, GCF of Fractions is 1/5412.Finally, GCF of Fractions for 811/164, 784/132 is 1/5412.