Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2615/485,7077/1249
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 2615,7077
Greatest Common Factor of Numerators i.e. GCF of 2615,7077 is 1 .
LCM of Denominators means LCM of 485,1249 as per the given fractions.
LCM of 485,1249 is 605765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2615,7077
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2615
List of positive integer factors of 2615 that divides 2615 without a remainder.
1,5,523,2615
Factors of 7077
List of positive integer factors of 7077 that divides 7077 without a remainder.
1,3,7,21,337,1011,2359,7077
Greatest Common Factor
We found the factors 2615,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 2615,7077 is 1.
Lets's calculate LCM of 485,1249
Given numbers has no common factors except 1. So, there LCM is their product i.e 605765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605765
Therefore, the GCF of Fractions 2615/485,7077/1249 is 1/605765
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 485,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,1249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,1249) x common factors =1 x 1 = 1
LCM(485,1249) = ( 485 × 1249 ) / 1
LCM(485,1249) = 605765 / 1
LCM(485,1249) = 605765
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 2615/485, 7077/1249?
Answer: GCF of Numerators as per given numbers 2615/485, 7077/1249 is
GCF of Numerators i.e. for 2615,7077 is 1
LCM of denominators i.e. for 485,1249 is 605765.
Thus, GCF of Fractions is 1/605765.Finally, GCF of Fractions for 2615/485, 7077/1249 is 1/605765.