Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 742/100,4463/815
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 742,4463
Greatest Common Factor of Numerators i.e. GCF of 742,4463 is 1 .
LCM of Denominators means LCM of 100,815 as per the given fractions.
LCM of 100,815 is 16300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 742,4463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 4463
List of positive integer factors of 4463 that divides 4463 without a remainder.
1,4463
Greatest Common Factor
We found the factors 742,4463 . The biggest common factor number is the GCF number.
So the greatest common factor 742,4463 is 1.
Lets's calculate LCM of 100,815
5 | 100, 815 |
20, 163 |
∴ So the LCM of the given numbers is 5 x 20 x 163 = 16300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16300
Therefore, the GCF of Fractions 742/100,4463/815 is 1/16300
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 100,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(100,815) x common factors =5 x 1 = 5
LCM(100,815) = ( 100 × 815 ) / 5
LCM(100,815) = 81500 / 5
LCM(100,815) = 16300
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 742/100, 4463/815?
Answer: GCF of Numerators as per given numbers 742/100, 4463/815 is
GCF of Numerators i.e. for 742,4463 is 1
LCM of denominators i.e. for 100,815 is 16300.
Thus, GCF of Fractions is 1/16300.Finally, GCF of Fractions for 742/100, 4463/815 is 1/16300.