Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/56,56/69,898/75
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 13,56,898
Greatest Common Factor of Numerators i.e. GCF of 13,56,898 is 1 .
LCM of Denominators means LCM of 56,69,75 as per the given fractions.
LCM of 56,69,75 is 96600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,56,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
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 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 13,56,898 . The biggest common factor number is the GCF number.
So the greatest common factor 13,56,898 is 1.
Lets's calculate LCM of 56,69,75
3 | 56, 69, 75 |
56, 23, 25 |
∴ So the LCM of the given numbers is 3 x 56 x 23 x 25 = 96600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96600
Therefore, the GCF of Fractions 13/56,56/69,898/75 is 1/96600
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 56,69,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,69,75) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(56,69,75) x common factors =1 x 3 = 3
LCM(56,69,75) = ( 56 × 69 × 75 ) / 3
LCM(56,69,75) = 289800 / 3
LCM(56,69,75) = 96600
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 13/56, 56/69, 898/75?
Answer: GCF of Numerators as per given numbers 13/56, 56/69, 898/75 is
GCF of Numerators i.e. for 13,56,898 is 1
LCM of denominators i.e. for 56,69,75 is 96600.
Thus, GCF of Fractions is 1/96600.Finally, GCF of Fractions for 13/56, 56/69, 898/75 is 1/96600.