Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5794/550,1007/927
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 5794,1007
Greatest Common Factor of Numerators i.e. GCF of 5794,1007 is 1 .
LCM of Denominators means LCM of 550,927 as per the given fractions.
LCM of 550,927 is 509850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5794,1007
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5794
List of positive integer factors of 5794 that divides 5794 without a remainder.
1,2,2897,5794
Factors of 1007
List of positive integer factors of 1007 that divides 1007 without a remainder.
1,19,53,1007
Greatest Common Factor
We found the factors 5794,1007 . The biggest common factor number is the GCF number.
So the greatest common factor 5794,1007 is 1.
Lets's calculate LCM of 550,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 509850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509850
Therefore, the GCF of Fractions 5794/550,1007/927 is 1/509850
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 550,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(550,927) x common factors =1 x 1 = 1
LCM(550,927) = ( 550 × 927 ) / 1
LCM(550,927) = 509850 / 1
LCM(550,927) = 509850
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 5794/550, 1007/927?
Answer: GCF of Numerators as per given numbers 5794/550, 1007/927 is
GCF of Numerators i.e. for 5794,1007 is 1
LCM of denominators i.e. for 550,927 is 509850.
Thus, GCF of Fractions is 1/509850.Finally, GCF of Fractions for 5794/550, 1007/927 is 1/509850.