Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1289/319,4915/565
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 1289,4915
Greatest Common Factor of Numerators i.e. GCF of 1289,4915 is 1 .
LCM of Denominators means LCM of 319,565 as per the given fractions.
LCM of 319,565 is 180235 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1289,4915
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1289
List of positive integer factors of 1289 that divides 1289 without a remainder.
1,1289
Factors of 4915
List of positive integer factors of 4915 that divides 4915 without a remainder.
1,5,983,4915
Greatest Common Factor
We found the factors 1289,4915 . The biggest common factor number is the GCF number.
So the greatest common factor 1289,4915 is 1.
Lets's calculate LCM of 319,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 180235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180235
Therefore, the GCF of Fractions 1289/319,4915/565 is 1/180235
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 319,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,565) x common factors =1 x 1 = 1
LCM(319,565) = ( 319 × 565 ) / 1
LCM(319,565) = 180235 / 1
LCM(319,565) = 180235
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 1289/319, 4915/565?
Answer: GCF of Numerators as per given numbers 1289/319, 4915/565 is
GCF of Numerators i.e. for 1289,4915 is 1
LCM of denominators i.e. for 319,565 is 180235.
Thus, GCF of Fractions is 1/180235.Finally, GCF of Fractions for 1289/319, 4915/565 is 1/180235.