Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/27,56/85,11/881,705/413
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 4,56,11,705
Greatest Common Factor of Numerators i.e. GCF of 4,56,11,705 is 1 .
LCM of Denominators means LCM of 27,85,881,413 as per the given fractions.
LCM of 27,85,881,413 is 835042635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,56,11,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 4,56,11,705 . The biggest common factor number is the GCF number.
So the greatest common factor 4,56,11,705 is 1.
Lets's calculate LCM of 27,85,881,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 835042635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835042635
Therefore, the GCF of Fractions 4/27,56/85,11/881,705/413 is 1/835042635
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 27,85,881,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,85,881,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,85,881,413) x common factors =1 x 1 = 1
LCM(27,85,881,413) = ( 27 × 85 × 881 × 413 ) / 1
LCM(27,85,881,413) = 835042635 / 1
LCM(27,85,881,413) = 835042635
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 4/27, 56/85, 11/881, 705/413?
Answer: GCF of Numerators as per given numbers 4/27, 56/85, 11/881, 705/413 is
GCF of Numerators i.e. for 4,56,11,705 is 1
LCM of denominators i.e. for 27,85,881,413 is 835042635.
Thus, GCF of Fractions is 1/835042635.Finally, GCF of Fractions for 4/27, 56/85, 11/881, 705/413 is 1/835042635.