Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 972/913,841/128,885/405
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 972,841,885
Greatest Common Factor of Numerators i.e. GCF of 972,841,885 is 1 .
LCM of Denominators means LCM of 913,128,405 as per the given fractions.
LCM of 913,128,405 is 47329920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 972,841,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 972,841,885 . The biggest common factor number is the GCF number.
So the greatest common factor 972,841,885 is 1.
Lets's calculate LCM of 913,128,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 47329920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47329920
Therefore, the GCF of Fractions 972/913,841/128,885/405 is 1/47329920
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 913,128,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,128,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,128,405) x common factors =1 x 1 = 1
LCM(913,128,405) = ( 913 × 128 × 405 ) / 1
LCM(913,128,405) = 47329920 / 1
LCM(913,128,405) = 47329920
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 972/913, 841/128, 885/405?
Answer: GCF of Numerators as per given numbers 972/913, 841/128, 885/405 is
GCF of Numerators i.e. for 972,841,885 is 1
LCM of denominators i.e. for 913,128,405 is 47329920.
Thus, GCF of Fractions is 1/47329920.Finally, GCF of Fractions for 972/913, 841/128, 885/405 is 1/47329920.