Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2913/883,2486/450
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 2913,2486
Greatest Common Factor of Numerators i.e. GCF of 2913,2486 is 1 .
LCM of Denominators means LCM of 883,450 as per the given fractions.
LCM of 883,450 is 397350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2913,2486
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2913
List of positive integer factors of 2913 that divides 2913 without a remainder.
1,3,971,2913
Factors of 2486
List of positive integer factors of 2486 that divides 2486 without a remainder.
1,2,11,22,113,226,1243,2486
Greatest Common Factor
We found the factors 2913,2486 . The biggest common factor number is the GCF number.
So the greatest common factor 2913,2486 is 1.
Lets's calculate LCM of 883,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 397350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397350
Therefore, the GCF of Fractions 2913/883,2486/450 is 1/397350
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 883,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,450) x common factors =1 x 1 = 1
LCM(883,450) = ( 883 × 450 ) / 1
LCM(883,450) = 397350 / 1
LCM(883,450) = 397350
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 2913/883, 2486/450?
Answer: GCF of Numerators as per given numbers 2913/883, 2486/450 is
GCF of Numerators i.e. for 2913,2486 is 1
LCM of denominators i.e. for 883,450 is 397350.
Thus, GCF of Fractions is 1/397350.Finally, GCF of Fractions for 2913/883, 2486/450 is 1/397350.