Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/481,957/648,613/249
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 860,957,613
Greatest Common Factor of Numerators i.e. GCF of 860,957,613 is 1 .
LCM of Denominators means LCM of 481,648,249 as per the given fractions.
LCM of 481,648,249 is 25870104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 860,957,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 860,957,613 . The biggest common factor number is the GCF number.
So the greatest common factor 860,957,613 is 1.
Lets's calculate LCM of 481,648,249
3 | 481, 648, 249 |
481, 216, 83 |
∴ So the LCM of the given numbers is 3 x 481 x 216 x 83 = 25870104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25870104
Therefore, the GCF of Fractions 860/481,957/648,613/249 is 1/25870104
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 481,648,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,648,249) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(481,648,249) x common factors =1 x 3 = 3
LCM(481,648,249) = ( 481 × 648 × 249 ) / 3
LCM(481,648,249) = 77610312 / 3
LCM(481,648,249) = 25870104
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 860/481, 957/648, 613/249?
Answer: GCF of Numerators as per given numbers 860/481, 957/648, 613/249 is
GCF of Numerators i.e. for 860,957,613 is 1
LCM of denominators i.e. for 481,648,249 is 25870104.
Thus, GCF of Fractions is 1/25870104.Finally, GCF of Fractions for 860/481, 957/648, 613/249 is 1/25870104.