Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/776,285/583,947/238
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 565,285,947
Greatest Common Factor of Numerators i.e. GCF of 565,285,947 is 1 .
LCM of Denominators means LCM of 776,583,238 as per the given fractions.
LCM of 776,583,238 is 53836552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 565,285,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 565,285,947 . The biggest common factor number is the GCF number.
So the greatest common factor 565,285,947 is 1.
Lets's calculate LCM of 776,583,238
2 | 776, 583, 238 |
388, 583, 119 |
∴ So the LCM of the given numbers is 2 x 388 x 583 x 119 = 53836552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53836552
Therefore, the GCF of Fractions 565/776,285/583,947/238 is 1/53836552
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 776,583,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,583,238) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(776,583,238) x common factors =1 x 2 = 2
LCM(776,583,238) = ( 776 × 583 × 238 ) / 2
LCM(776,583,238) = 107673104 / 2
LCM(776,583,238) = 53836552
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 565/776, 285/583, 947/238?
Answer: GCF of Numerators as per given numbers 565/776, 285/583, 947/238 is
GCF of Numerators i.e. for 565,285,947 is 1
LCM of denominators i.e. for 776,583,238 is 53836552.
Thus, GCF of Fractions is 1/53836552.Finally, GCF of Fractions for 565/776, 285/583, 947/238 is 1/53836552.