Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 861/161,216/294,940/797
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 861,216,940
Greatest Common Factor of Numerators i.e. GCF of 861,216,940 is 1 .
LCM of Denominators means LCM of 161,294,797 as per the given fractions.
LCM of 161,294,797 is 5389314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 861,216,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 861,216,940 . The biggest common factor number is the GCF number.
So the greatest common factor 861,216,940 is 1.
Lets's calculate LCM of 161,294,797
7 | 161, 294, 797 |
23, 42, 797 |
∴ So the LCM of the given numbers is 7 x 23 x 42 x 797 = 5389314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5389314
Therefore, the GCF of Fractions 861/161,216/294,940/797 is 1/5389314
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 161,294,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,294,797) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(161,294,797) x common factors =1 x 7 = 7
LCM(161,294,797) = ( 161 × 294 × 797 ) / 7
LCM(161,294,797) = 37725198 / 7
LCM(161,294,797) = 5389314
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 861/161, 216/294, 940/797?
Answer: GCF of Numerators as per given numbers 861/161, 216/294, 940/797 is
GCF of Numerators i.e. for 861,216,940 is 1
LCM of denominators i.e. for 161,294,797 is 5389314.
Thus, GCF of Fractions is 1/5389314.Finally, GCF of Fractions for 861/161, 216/294, 940/797 is 1/5389314.