Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/715,340/981,896/472
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 27,340,896
Greatest Common Factor of Numerators i.e. GCF of 27,340,896 is 1 .
LCM of Denominators means LCM of 715,981,472 as per the given fractions.
LCM of 715,981,472 is 331067880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,340,896
∴ 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 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 27,340,896 . The biggest common factor number is the GCF number.
So the greatest common factor 27,340,896 is 1.
Lets's calculate LCM of 715,981,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 331067880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331067880
Therefore, the GCF of Fractions 27/715,340/981,896/472 is 1/331067880
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 715,981,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,981,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,981,472) x common factors =1 x 1 = 1
LCM(715,981,472) = ( 715 × 981 × 472 ) / 1
LCM(715,981,472) = 331067880 / 1
LCM(715,981,472) = 331067880
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 27/715, 340/981, 896/472?
Answer: GCF of Numerators as per given numbers 27/715, 340/981, 896/472 is
GCF of Numerators i.e. for 27,340,896 is 1
LCM of denominators i.e. for 715,981,472 is 331067880.
Thus, GCF of Fractions is 1/331067880.Finally, GCF of Fractions for 27/715, 340/981, 896/472 is 1/331067880.