Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8619/90,4115/364
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 8619,4115
Greatest Common Factor of Numerators i.e. GCF of 8619,4115 is 1 .
LCM of Denominators means LCM of 90,364 as per the given fractions.
LCM of 90,364 is 16380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8619,4115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8619
List of positive integer factors of 8619 that divides 8619 without a remainder.
1,3,13,17,39,51,169,221,507,663,2873,8619
Factors of 4115
List of positive integer factors of 4115 that divides 4115 without a remainder.
1,5,823,4115
Greatest Common Factor
We found the factors 8619,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 8619,4115 is 1.
Lets's calculate LCM of 90,364
2 | 90, 364 |
45, 182 |
∴ So the LCM of the given numbers is 2 x 45 x 182 = 16380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16380
Therefore, the GCF of Fractions 8619/90,4115/364 is 1/16380
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 90,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,364) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,364) x common factors =2 x 1 = 2
LCM(90,364) = ( 90 × 364 ) / 2
LCM(90,364) = 32760 / 2
LCM(90,364) = 16380
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 8619/90, 4115/364?
Answer: GCF of Numerators as per given numbers 8619/90, 4115/364 is
GCF of Numerators i.e. for 8619,4115 is 1
LCM of denominators i.e. for 90,364 is 16380.
Thus, GCF of Fractions is 1/16380.Finally, GCF of Fractions for 8619/90, 4115/364 is 1/16380.