Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/27,25/356,796/471
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 53,25,796
Greatest Common Factor of Numerators i.e. GCF of 53,25,796 is 1 .
LCM of Denominators means LCM of 27,356,471 as per the given fractions.
LCM of 27,356,471 is 1509084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,25,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 53,25,796 . The biggest common factor number is the GCF number.
So the greatest common factor 53,25,796 is 1.
Lets's calculate LCM of 27,356,471
3 | 27, 356, 471 |
9, 356, 157 |
∴ So the LCM of the given numbers is 3 x 9 x 356 x 157 = 1509084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1509084
Therefore, the GCF of Fractions 53/27,25/356,796/471 is 1/1509084
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 27,356,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,356,471) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,356,471) x common factors =1 x 3 = 3
LCM(27,356,471) = ( 27 × 356 × 471 ) / 3
LCM(27,356,471) = 4527252 / 3
LCM(27,356,471) = 1509084
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 53/27, 25/356, 796/471?
Answer: GCF of Numerators as per given numbers 53/27, 25/356, 796/471 is
GCF of Numerators i.e. for 53,25,796 is 1
LCM of denominators i.e. for 27,356,471 is 1509084.
Thus, GCF of Fractions is 1/1509084.Finally, GCF of Fractions for 53/27, 25/356, 796/471 is 1/1509084.