Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/83,63/81,82/427,556/388
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 9,63,82,556
Greatest Common Factor of Numerators i.e. GCF of 9,63,82,556 is 1 .
LCM of Denominators means LCM of 83,81,427,388 as per the given fractions.
LCM of 83,81,427,388 is 1113839748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,63,82,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 9,63,82,556 . The biggest common factor number is the GCF number.
So the greatest common factor 9,63,82,556 is 1.
Lets's calculate LCM of 83,81,427,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 1113839748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1113839748
Therefore, the GCF of Fractions 9/83,63/81,82/427,556/388 is 1/1113839748
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 83,81,427,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,81,427,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,81,427,388) x common factors =1 x 1 = 1
LCM(83,81,427,388) = ( 83 × 81 × 427 × 388 ) / 1
LCM(83,81,427,388) = 1113839748 / 1
LCM(83,81,427,388) = 1113839748
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 9/83, 63/81, 82/427, 556/388?
Answer: GCF of Numerators as per given numbers 9/83, 63/81, 82/427, 556/388 is
GCF of Numerators i.e. for 9,63,82,556 is 1
LCM of denominators i.e. for 83,81,427,388 is 1113839748.
Thus, GCF of Fractions is 1/1113839748.Finally, GCF of Fractions for 9/83, 63/81, 82/427, 556/388 is 1/1113839748.