Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/655,85/759,930/592
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 27,85,930
Greatest Common Factor of Numerators i.e. GCF of 27,85,930 is 1 .
LCM of Denominators means LCM of 655,759,592 as per the given fractions.
LCM of 655,759,592 is 294309840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,85,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 27,85,930 . The biggest common factor number is the GCF number.
So the greatest common factor 27,85,930 is 1.
Lets's calculate LCM of 655,759,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 294309840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294309840
Therefore, the GCF of Fractions 27/655,85/759,930/592 is 1/294309840
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 655,759,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,759,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,759,592) x common factors =1 x 1 = 1
LCM(655,759,592) = ( 655 × 759 × 592 ) / 1
LCM(655,759,592) = 294309840 / 1
LCM(655,759,592) = 294309840
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 27/655, 85/759, 930/592?
Answer: GCF of Numerators as per given numbers 27/655, 85/759, 930/592 is
GCF of Numerators i.e. for 27,85,930 is 1
LCM of denominators i.e. for 655,759,592 is 294309840.
Thus, GCF of Fractions is 1/294309840.Finally, GCF of Fractions for 27/655, 85/759, 930/592 is 1/294309840.