Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/69,523/3433
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 915,523
Greatest Common Factor of Numerators i.e. GCF of 915,523 is 1 .
LCM of Denominators means LCM of 69,3433 as per the given fractions.
LCM of 69,3433 is 236877 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 915,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 915,523 . The biggest common factor number is the GCF number.
So the greatest common factor 915,523 is 1.
Lets's calculate LCM of 69,3433
Given numbers has no common factors except 1. So, there LCM is their product i.e 236877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236877
Therefore, the GCF of Fractions 915/69,523/3433 is 1/236877
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 69,3433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,3433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,3433) x common factors =1 x 1 = 1
LCM(69,3433) = ( 69 × 3433 ) / 1
LCM(69,3433) = 236877 / 1
LCM(69,3433) = 236877
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 915/69, 523/3433?
Answer: GCF of Numerators as per given numbers 915/69, 523/3433 is
GCF of Numerators i.e. for 915,523 is 1
LCM of denominators i.e. for 69,3433 is 236877.
Thus, GCF of Fractions is 1/236877.Finally, GCF of Fractions for 915/69, 523/3433 is 1/236877.