Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/74,283/2269
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 915,283
Greatest Common Factor of Numerators i.e. GCF of 915,283 is 1 .
LCM of Denominators means LCM of 74,2269 as per the given fractions.
LCM of 74,2269 is 167906 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 915,283
∴ 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 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 915,283 . The biggest common factor number is the GCF number.
So the greatest common factor 915,283 is 1.
Lets's calculate LCM of 74,2269
Given numbers has no common factors except 1. So, there LCM is their product i.e 167906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167906
Therefore, the GCF of Fractions 915/74,283/2269 is 1/167906
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 74,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,2269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,2269) x common factors =1 x 1 = 1
LCM(74,2269) = ( 74 × 2269 ) / 1
LCM(74,2269) = 167906 / 1
LCM(74,2269) = 167906
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 915/74, 283/2269?
Answer: GCF of Numerators as per given numbers 915/74, 283/2269 is
GCF of Numerators i.e. for 915,283 is 1
LCM of denominators i.e. for 74,2269 is 167906.
Thus, GCF of Fractions is 1/167906.Finally, GCF of Fractions for 915/74, 283/2269 is 1/167906.